Pre-Calc/Trig Unit 1: Trig Functions/1.1 Angles Complement of an Angle «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»F«/mi»«mi»i«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»c«/mi»«mi»o«/mi»«mi»m«/mi»«mi»p«/mi»«mi»l«/mi»«mi»e«/mi»«mi»m«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»f«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mo»§#160;«/mo»«mo»§#176;«/mo»«/msup»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>75</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>90</mn><mo>-</mo><mi>a</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Convert DMS to Degrees Convert «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«msup»«mi»a«/mi»«mrow»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»§#160;«/mo»«/mrow»«/msup»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»`«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#160;«/mo»«mo»``«/mo»«/math»to degrees.  Round to hundredths.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>89</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>59</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>,</mo><mn>59</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>+</mo><mfrac><mi>b</mi><mn>60</mn></mfrac><mo>+</mo><mfrac><mi>c</mi><mn>3600</mn></mfrac><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="precision">4</option><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Convert the angle to degrees, minutes, and seconds.28.34° Convert the angle to degrees, minutes, and seconds.

28.34°]]> 1.0000000 0.3333333 0 true true abc Correct Incorrect Incorrect Incorrect Converting Revolutions per Minute A wheel makes #a revolutions per minute.  How many revolutions does it make per second?  Round to tenths.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>200</mn><mo>,</mo><mn>300</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mi>a</mi><mo>/</mo><mn>60</mn><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find the angle of smallest possible positive measure coterminal with the ... Find the angle of smallest possible positive measure coterminal with the given angle.

840°]]> 1.0000000 0.3333333 0 true true abc 120° Correct 110° Incorrect 480° Incorrect 470° Incorrect Find the measure of each angle in the problem. Find the measure of each angle in the problem.


]]> 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 1.0000000 0.3333333 0 true true abc 45° and 135° Correct 60° and 120° Incorrect 90° and 270° Incorrect 45° and 55° Incorrect Find the measure of each angle in the problem. Find the measure of each angle in the problem.


]]> 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 1.0000000 0.3333333 0 true true abc 40° and 50° Correct 20° and 25° Incorrect 20° and 30° Incorrect 30° and 60° Incorrect Perform the calculation.

90° - 30°19'58"]]> 1.0000000 0.3333333 0 true true abc Correct Incorrect Incorrect Incorrect Provide an appropriate response.Find the complement of an angle whose ... Provide an appropriate response.

Find the complement of an angle whose measure is 34°21'49".]]> 1.0000000 0.3333333 0 true true abc Correct Incorrect Incorrect Incorrect Provide an appropriate response.Find the supplement of an angle whose ... Provide an appropriate response.

Find the supplement of an angle whose measure is 37°45'2"]]> 1.0000000 0.3333333 0 true true abc Correct Incorrect Incorrect Incorrect Supplement of an Angle «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»F«/mi»«mi»i«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»t«/mi»«mi»h«/mi»«mi»e«/mi»«mo»§#160;«/mo»«mi»s«/mi»«mi»u«/mi»«mi»p«/mi»«mi»p«/mi»«mi»l«/mi»«mi»e«/mi»«mi»m«/mi»«mi»e«/mi»«mi»n«/mi»«mi»t«/mi»«mo»§#160;«/mo»«mi»o«/mi»«mi»f«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«msup»«mo»§#160;«/mo»«mo»§#176;«/mo»«/msup»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>160</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>180</mn><mo>-</mo><mi>a</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Pre-Calc/Trig Unit 1: Trig Functions/1.2 Angle Relationships Corresponding Sides of Triangles A triangle drawn on a map has sides of length #a cm, #b cm, and #c cm.  The shortest side corresponds to a real-life distance of 120 km.  What distance in km corresponds to the longest side of the triangle?  Round to tenths.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mn>8</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mo>(</mo><mi>c</mi><mo>*</mo><mn>120</mn><mo>)</mo><mo>/</mo><mi>a</mi><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find third angle of a triangle Find the third angle in triangle given these angles:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»§#160;«/mo»«mi»a«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«/math»

Round to the nearest degree

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>12</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>180</mn><mo>-</mo><mo>(</mo><mi>a</mi><mo>+</mo><mi>b</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> The triangles are similar. Find the missing side, angle or value of the ... The triangles are similar. Find the missing side, angle or value of the variable.



a = 8
b = 10
c = 6
d = 4
e = 5]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCABYAOADASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U6KKKACiiigAooooAKKKyfFPinS/BehXWsaxdfZLC32hmWNpXd3YJHFHGgLyyu7IiRoGd3dVVWZgCAHinxTpfgvQrrWNYuvslhb7QzLG0ru7sEjijjQF5ZXdkRI0DO7uqqrMwB4D/hKvivpn/E8uvBWn6zot3848M6Zexwa7pidEVpJZfsd5K+5XkUS26QBXVJLw7WbV8LeFtU8Ta7a+MfGNr9kv7fcdE8PNIsqaIjqUaWRkJSW+dGZXkUskSO0MLMrTzXXoFAHKeBfil4Y+JH26PQtT86/0/Z9v0q8t5bPUbDfu8r7TZzqk8HmBGZPMRd64ZcqQT1dcp46+Fvhj4kfYZNd0zzr/AE/f9g1WzuJbPUbDft837NeQMk8HmBFV/Ldd65VsqSDyv/Fz/hr/ANVd0Ff+vXTfEUX/AKKsbvLv/wBOXlRRf8vMh5APVaK5TwL8UvDHxI+3R6FqfnX+n7Pt+lXlvLZ6jYb93lfabOdUng8wIzJ5iLvXDLlSCeroAKKKKACiiigAooooAKKKKACiiigAooooAKKKKACiiigAooooAKKKyfFPinS/BehXWsaxdfZLC32hmWNpXd3YJHFHGgLyyu7IiRoGd3dVVWZgCAHinxTpfgvQrrWNYuvslhb7QzLG0ru7sEjijjQF5ZXdkRI0DO7uqqrMwB5Xwt4W1TxNrtr4x8Y2v2S/t9x0Tw80iypoiOpRpZGQlJb50ZleRSyRI7QwsytPNdHhbwtqnibXbXxj4xtfsl/b7jonh5pFlTREdSjSyMhKS3zozK8ilkiR2hhZlaea69AoAKKKyfFPinS/BehXWsaxdfZLC32hmWNpXd3YJHFHGgLyyu7IiRoGd3dVVWZgCAa1FeVf8LB+Ifh//ib+IPh/9p8N3P777PoF2LrWNHj9Lq2+5c7URpHNnJJIHlWCKC4CfaJO18FeP/DvxF0qXUPDmrW+qW8ExtbpIiVms7hVVnt7iJgHgnQOu+GVVkQnDKDxQBU8dfC3wx8SPsMmu6Z51/p+/wCwarZ3EtnqNhv2+b9mvIGSeDzAiq/luu9cq2VJB5X/AIuf8Nf+qu6Cv/XrpviKL/0VY3eXf/py8qKL/l5kPPqtFAHKeBfil4Y+JH26PQtT86/0/Z9v0q8t5bPUbDfu8r7TZzqk8HmBGZPMRd64ZcqQT1dcp46+Fvhj4kfYZNd0zzr/AE/f9g1WzuJbPUbDft837NeQMk8HmBFV/Ldd65VsqSDyv/Fz/hr/ANVd0Ff+vXTfEUX/AKKsbvLv/wBOXlRRf8vMh5APVaK5TwL8UvDHxI+3R6FqfnX+n7Pt+lXlvLZ6jYb93lfabOdUng8wIzJ5iLvXDLlSCeroAKKKKACiufsviF4V1Hxlf+ELTxNo914ssIRc3mgw38T31tEQhEkkAbeikSxncQB+8T+8M9BQAUUUUAFFFFABRRRQAUUUUAfNX7X/AIN+KfxC/svQfh7puoWPn2VykPi3S/E91Zf2bdPhFFzaQ3tnuiGY5VuAbxk8qVfsj7xu9g+Cl74tv/hH4Ql8e2Fxp3jZdMgi1uG5a2LNeogSaQfZnaLbI6tIoQjCuoKocqO1rJ8U+KdL8F6FdaxrF19ksLfaGZY2ld3dgkcUcaAvLK7siJGgZ3d1VVZmAIAeKfFOl+C9CutY1i6+yWFvtDMsbSu7uwSOKONAXlld2REjQM7u6qqszAHlfC3hbVPE2u2vjHxja/ZL+33HRPDzSLKmiI6lGlkZCUlvnRmV5FLJEjtDCzK0810eFvC2qeJtdtfGPjG1+yX9vuOieHmkWVNER1KNLIyEpLfOjMryKWSJHaGFmVp5rr0CgArz/wCM3xu8N/A/wrd6xrcv2u7hsrrUINDs7q2TUb+C2Tzbt7aKeWIS+TDmVwrZCqcAkqD6BXy/+1F+zJ4d8deLdS+Ieu+JrfSdIv8Awk3gjXtPvtGOpm5spb6OeA6equrR6h55CwtsuMytBshZ1AcA9r0b4veHdW+Eeh/EeWS403w9q+mWeqW6XMJe523SRtBCIot5kndpY41ij3s8jKiBiwBqeFvC2qeJtdtfGPjG1+yX9vuOieHmkWVNER1KNLIyEpLfOjMryKWSJHaGFmVp5rriv2a/gx4i8IeAPAyfEK8t9S1fwtpkWl6Fp1vbCCHS7eOIwRzSoJplfUHgwksqyNHGGkigIR5pLj3WgArivGvwh8O+NtVi1x47jRfFlvCLe18T6JMbTUoY1ZnSIyrxNAJG8z7NOJLd2ALxPjFdrRQB5V/b/wAQ/hl8viDTf+FjeG4+P7c0CAQ6xbRj+K6sM7LnaiM7y2bCSR3VIrEDmu18FeP/AA78RdKl1Dw5q1vqlvBMbW6SIlZrO4VVZ7e4iYB4J0DrvhlVZEJwyg8V0FcV41+EPh3xtqsWuPHcaL4st4Rb2vifRJjaalDGrM6RGVeJoBI3mfZpxJbuwBeJ8YoA7WuU8dfFjwP8L/sP/CZeMvD/AIS+3b/sn9u6pBZfaNm3f5fmuu7bvTOM43LnqK5X+3/iH8Mvl8Qab/wsbw3Hx/bmgQCHWLaMfxXVhnZc7URneWzYSSO6pFYgc14/8UP2c/DX7Wfj8fErwh4+t1dfD8/gnXdJuUvzCYjKLhrW5is76xuIJ1811mtrhmGHQPEjJkgH0V46+Fvhj4kfYZNd0zzr/T9/2DVbO4ls9RsN+3zfs15AyTweYEVX8t13rlWypIPK/wDFz/hr/wBVd0Ff+vXTfEUX/oqxu8u//Tl5UUX/AC8yHnv/AAn4W0vwN4V0bw3olr9i0XR7KHT7G28xpPJgiQRxpuclmwqgZYknHJJrWoA5TwL8UvDHxI+3R6FqfnX+n7Pt+lXlvLZ6jYb93lfabOdUng8wIzJ5iLvXDLlSCerrlPHXwt8MfEj7DJrumedf6fv+warZ3EtnqNhv2+b9mvIGSeDzAiq/luu9cq2VJB5X/i5/w1/6q7oK/wDXrpviKL/0VY3eXf8A6cvKii/5eZDyAfP/AO1j8CPifr3x91P4geBrLxBfQ3/wyu/Clo3hLWbXTby21UXTXFq9zJPNA622945M28hctblHUxMyS/Wvw9svEWneAPDVp4vv7fVPFkGmW0WsX1ooWG5vViUTyIAiAK0gcgbF4I+UdBU8C/FLwx8SPt0ehan51/p+z7fpV5by2eo2G/d5X2mznVJ4PMCMyeYi71wy5Ugnq6ACiiigAooooAKKKKACiisnxT4p0vwXoV1rGsXX2Swt9oZljaV3d2CRxRxoC8sruyIkaBnd3VVVmYAgB4p8U6X4L0K61jWLr7JYW+0MyxtK7u7BI4o40BeWV3ZESNAzu7qqqzMAeV8LeFtU8Ta7a+MfGNr9kv7fcdE8PNIsqaIjqUaWRkJSW+dGZXkUskSO0MLMrTzXR4W8Lap4m1218Y+MbX7Jf2+46J4eaRZU0RHUo0sjISkt86MyvIpZIkdoYWZWnmuvQKACiiigDJ8U+KdL8F6FdaxrF19ksLfaGZY2ld3dgkcUcaAvLK7siJGgZ3d1VVZmAPK+FvC2qeJtdtfGPjG1+yX9vuOieHmkWVNER1KNLIyEpLfOjMryKWSJHaGFmVp5rrn/ABr8L/iLr3xQi8U6T438L2+m6fCI9H0fW/ClzfDTpWRknuQ8eowB55Fdo/MZMxxExpt82czW/wDhHPjf/wBFD+H/AP4Qd9/8uaAPVaK8q/4Rz43/APRQ/h//AOEHff8Ay5o/4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMua5Tx1418cfC/7D/wmXx1+D/hL7dv+yf274XnsvtGzbv8AL83XF3bd6ZxnG5c9RQB9AUV5V/wjnxv/AOih/D//AMIO+/8AlzR/wjnxv/6KH8P/APwg77/5c0Aeq1xXjX4Q+HfG2qxa48dxoviy3hFva+J9EmNpqUMaszpEZV4mgEjeZ9mnElu7AF4nxiuf/wCEc+N//RQ/h/8A+EHff/Lmj/hHPjf/ANFD+H//AIQd9/8ALmgA/t/4h/DL5fEGm/8ACxvDcfH9uaBAIdYtox/FdWGdlztRGd5bNhJI7qkViBzXa+CvH/h34i6VLqHhzVrfVLeCY2t0kRKzWdwqqz29xEwDwToHXfDKqyIThlB4riv+Ec+N/wD0UP4f/wDhB33/AMua4rxr+z98TvG2qxa4/j7wPoviy3hFva+J9E8E39pqUMaszpEZV1nE0AkbzPs04kt3YAvE+MUAfRVFcp8M9F8X+H/CsFh428Uaf4w1qHan9r6fo50vz0CIu6WHz5VMrMHZmTYnzALGoXnq6AOU8dfC3wx8SPsMmu6Z51/p+/7BqtncS2eo2G/b5v2a8gZJ4PMCKr+W671yrZUkHlf+Ln/DX/qrugr/ANeum+Iov/RVjd5d/wDpy8qKL/l5kPPqtFAHKeBfil4Y+JH26PQtT86/0/Z9v0q8t5bPUbDfu8r7TZzqk8HmBGZPMRd64ZcqQT1dcp46+Fvhj4kfYZNd0zzr/T9/2DVbO4ls9RsN+3zfs15AyTweYEVX8t13rlWypIPK/wDFz/hr/wBVd0Ff+vXTfEUX/oqxu8u//Tl5UUX/AC8yHkA9VorlPAvxS8MfEj7dHoWp+df6fs+36VeW8tnqNhv3eV9ps51SeDzAjMnmIu9cMuVIJ6ugAooooAyfFPinS/BehXWsaxdfZLC32hmWNpXd3YJHFHGgLyyu7IiRoGd3dVVWZgDyvhbwtqnibXbXxj4xtfsl/b7jonh5pFlTREdSjSyMhKS3zozK8ilkiR2hhZlaea65/wAa/C/4i698UIvFOk+N/C9vpunwiPR9H1vwpc3w06VkZJ7kPHqMAeeRXaPzGTMcRMabfNnM1v8A4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMuaP+Ec+N//AEUP4f8A/hB33/y5oA9Voryr/hHPjf8A9FD+H/8A4Qd9/wDLmj/hHPjf/wBFD+H/AP4Qd9/8uaAPVaK8q/4Rz43/APRQ/h//AOEHff8Ay5o/4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMuaP+Ec+N//AEUP4f8A/hB33/y5oA9Vr5/+M37MGqfED4p3fj/wx4u0/wAPa1qXgy68Dahb674eXWrOSyln88SRwmaJRKrFwRL50bqVBjwDu6v/AIRz43/9FD+H/wD4Qd9/8uaP+Ec+N/8A0UP4f/8AhB33/wAuaAO/8J+HLfwf4V0bQbRt9ppdlDYwt5EMGUiQIp8uFI4k4UfLGiIOiqoAA1q8q/4Rz43/APRQ/h//AOEHff8Ay5o/4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMuaP+Ec+N//AEUP4f8A/hB33/y5oA9Voryr/hHPjf8A9FD+H/8A4Qd9/wDLmj/hHPjf/wBFD+H/AP4Qd9/8uaAPVaK8q/4Rz43/APRQ/h//AOEHff8Ay5o/4Rz43/8ARQ/h/wD+EHff/LmgD1WivKv+Ec+N/wD0UP4f/wDhB33/AMuaP+Ec+N//AEUP4f8A/hB33/y5oA9Voryr/hHPjf8A9FD+H/8A4Qd9/wDLmj/hHPjf/wBFD+H/AP4Qd9/8uaAOq8dfC3wx8SPsMmu6Z51/p+/7BqtncS2eo2G/b5v2a8gZJ4PMCKr+W671yrZUkHlf+Ln/AA1/6q7oK/8AXrpviKL/ANFWN3l3/wCnLyoov+XmQ8n/AAjnxv8A+ih/D/8A8IO+/wDlzR/wjnxv/wCih/D/AP8ACDvv/lzQB1XgX4peGPiR9uj0LU/Ov9P2fb9KvLeWz1Gw37vK+02c6pPB5gRmTzEXeuGXKkE9XXz/AOOvgV8SPiR9hk13xh8P5r/T9/2DVbPwXqdnqNhv2+b9mvINcSeDzAiq/luu9cq2VJB9V+Fvh3xP4U8CaZpXjLxd/wAJ34kt/N+1+IP7Mi077Vuldk/0eIlE2oyJwedm48k0AdXRRRQAUUUUAFFFFABRRRQAUUUUAFFFFABXzr+0H4N+MviP4oaLdfCDVbjwncReH9Rh1DXdb1BbjQZWdGFpbjTcuxu1nKS/awiLHGCr/agfIBRQB6V8AdK1TRPg14TsNb07xBpWtW9kEvrXxTra6zqKz5PmNLeI7rNubLKy7RtZQI4gPLT0CiigAooooAKKKKACiiigAooooAKKKKACiiigD//Z 1.0000000 0.3333333 0 true true abc x = 12 Correct x = 6 Incorrect x = 18 Incorrect x = 14 Incorrect Use the properties of angle measures to find the measure of each marked ... Use the properties of angle measures to find the measure of each marked angle.

Find the measure of the marked angles.

a = (4x + 12)°, b = (2x + 66)°]]> 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 1.0000000 0.3333333 0 true true abc 20°, 70° Correct 2°, 88° Incorrect 2°, 178° Incorrect 20°, 66° Incorrect Pre-Calc/Trig Unit 1: Trig Functions/1.3 Trig Functions Evaluate Cos from random ordered pair Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ.  Answer as a simplified fraction.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»cos«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»

 

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mfrac><mi>a</mi><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt></mfrac><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Evaluate Csc from random ordered pair Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ.  Answer as a simplified fraction.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»C«/mi»«mi»s«/mi»«mi»c«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»

 

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mn>0</mn></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>-</mo><mn>1</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/><assertion name="check_fraction_form"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Evaluate Sin from random ordered pair Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ.  Answer as a simplified fraction.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»sin«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»

 

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mfrac><mi>b</mi><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt></mfrac><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Evaluate Tan from random ordered pair Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ.  Answer as a simplified fraction.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»f«/mi»«mi»o«/mi»«mi»r«/mi»«mo»§#160;«/mo»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»)«/mo»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»f«/mi»«mi»i«/mi»«mi»n«/mi»«mi»d«/mi»«mo»§#160;«/mo»«mi»T«/mi»«mi»a«/mi»«mi»n«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«/math»

 

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>6</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>3</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mfrac><mi>b</mi><mi>a</mi></mfrac><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Evaluate the expression.sec 270° Evaluate the expression.

sec 270°]]> 1.0000000 0.3333333 0 true true abc Undefined Correct 0 Incorrect -1 Incorrect ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAoAB8DASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9EPiN8ZIfhldrJqPhXxFeeH4jCL/xHZQ27WWnCSQIGlV5lmdV3As0MUgUZLEYOPQ68Y+LWu+Lb/xXbaFF8MfE3iXwZb+VdXV1o91pCrqMysHSBlur6F1hUqC42ZkPy8IGEkviy48R/CnUL74l6z4gutW8K29vdP4g0YRrFFpmnqVkgureLc+57SNJzOFbzLgXEzqW+z2loBfDf1HJWfy/r+v+CcX4vtf+E8+KHxC1G7s/iBrsXh66sPC1h4a8FeJrzSg8q2aajPfO8d7aQKXTUoYiJWziyUqzGTYvrfwP1jRte+F2iXugR67Bpj+cqweJr2e81GCRZ5Fminlnlld2SRXXmR1AUBSVC15R4Jn1LVPgmdWtvCPiDxnp/jfW9V117zwxriaXq81jPfSS6VcCZ7m2cKbAWceDOkkcaRRFMKUT0v8AZ+8C6p8OPhlZ6Hqk1wfKubqazs7y7N5NYWkkzvBayTkkyvGjKpYluQQGcKGIuv8AX9fc/VaJp6W/r5/15aPVqj/wpvxd/wBF2+IH/gD4e/8AlVXHfES1ufhbapPr/wAfPihtaN5jHpXhrSdTljiQZeWSO10SRo417yMAoJAzkivoavI/j74gU6T/AMI09/4+8OHUIiU1nwV4dOqmXIZGt3ItbkQ/eVt7pH22yDDgTK9vd3Kik37zsv6/r/gFDwl8G9U/4RXRv+Eb+OfjOLw79ih/sxNO07w4lstr5Y8kRKukhRHs27QBgDGK9A8C+DdX8Jfbv7V8d+IPGv2jZ5f9uwadF9m27s+X9jtLfO7cM7933Fxt+bNf4MaVruh/CXwfpvieG2ttfs9Ktre8htERI43SMLtCoSgIAAIQ7Ac7flxXZ1pKyk+XYzg24py3CiiipKCiiigD/9k= Incorrect Evaluate the expression.sin2 270° + cos2 270° Evaluate the expression.

sin2 270° + cos2 270°]]> 1.0000000 0.3333333 0 true true abc 1 Correct ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAATABQDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U6+SdRlt9fXxp4+1rSPin4mt5tf1aFdP8GeLL6wttFstMlOmtiNNQtUlMsljPdbYY2lzclNr7Vd/QfEni6+/ZjttS8b/ABF8W3Gt+BLuGA61qRt2C6LqBkZBNDap5ji0mEltbCGMu0LQRO4na4urlOd06x+IPgz4HfDfwOfh54i1i5udBgPjDUNCvtL+0/bHiDXse+4vYd0887zPJcqXJLuwZnfeid9Lf16+Xf8ADUuCTfvbf1t59v8AI+gPB8um3HhLRJdGupr7R3sYGsrq5uJbiWaAxr5bvLKTJIxXBLuSzE5YkkmipfDcvneH9Of+x5vD4NumNKuPJ8y0G0YibyXePK9PkZl44JFFXKyk7bGUb8q5tyfVtJsdf0q90zU7K31HTb2F7a6s7uJZYZ4nUq8bowIZWUkFSCCCQat0UVJQUUUUAf/Z Incorrect ]]> 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 Incorrect 2 Incorrect If n is an integer, n ∙ 180° represents an integer multiple of 180°, and  If n is an integer, n ∙ 180° represents an integer multiple of 180°, and  represents an odd integer multiple of 90°. Decide whether the expression is equal to 0, 1, -1, or is undefined. 

tan((2n + 1) ∙ 90°)]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAARAEgDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD7r0b4m+Lfirpuv3/ge90DR9MsdeudHTUdbsJbxIo7QSJczPGlzAW3zAIihl2KjOzMWCLgfDj9rnSX+HngfUfiKraJ4i8U/bF0yHRNLvr231YW7P8AvbbyopCPNjQSxwsxkKuoXfwTmeOP2V/GOq+DPEHgvwV8QLLwH4d1LxBPrzzvoiarJcrcOZZ7KaCVkjMPnZYklxIknlugCkyS6f8Asw/EW9174Xav4v8Ai9ZeLr7wRq11qInk8IxWTXcU0Ih+zqsFwqRBE8zDbHOWBIIXaVSu4Wno/dv9yva3n00Wj7ph3v8A3rfe+Xfvp57a7ntng34neGfiB8P7TxtoGqDUPDF1bvdRXwhkTMaFg5MbqHBBRgVKgggjFbunarb6xpFrqdixurS6gW5gZV2mRGUMpAbGMgjrj3xXjvgL9mn/AIRv4BH4X6z4mutStYprt7bUtFe70WZEmlklCyGC63ybWlfI3qjjAKcZPoPwt+HFl8KvBdh4dsL3U9Qito0D3GqaldXsjuEVCVa4lkaNPlyI1bYuTgDJylduV9Fpb8b/AHaf8HoS0a5dd7/hb79f+B18x8DfHbxn418RfF7R7nwvp/hrUfBcOnyWljc3Zu3mM8D3JWeSPCIxj8tMR71jfcQ8y4Feh+FPjJ4W8TfCLRfiTNqtrofhbUtOg1I3urXCW8VtHIqkCV3IVSC2084z0rzjw78B/iB4Y8e/FHxX/wAJp4d1aXxzDBHLp48PT2a2jww/Z4ZFl+2TbgsZLMhT94ygBogTjsk/Z08D3XwH034Q6xpf9teDLPTrfTWtbiV43mSELtcvGysrFlDEqRyT24qm73cV0j99nzfjb9C3bmS6a3/C362/EqfHH4r6n4Kn8A6J4ak02LWfGmtLpNnqeqwvc2dqot5Z2laOOSNpSVi2qgkTJcHdxg+O+GP2rPHnxHt9E8L6BaeGdK8dPFr0uoaje2897pj/ANl3C2xEMKTxuvnySKwLSt5SqQRISCPePir8KIfiB4BtfCtpaeF/7PhkiH2bxR4eGtWixIpVQkDTRqJF+Xa7FguDlGzx5vP+yDD4St/A8vw08Rw+FNV8MWOo6YbrVtKGox6hb3pDzmaKKW2Al85VlVlIUHI2FSAIkpWlyvvbv8PuvsrS3XW/kJP4e+l+27v96tbtbzZT/Z1/aK8b/GrUPDGoX+hJpeiavpn2qeyj0C+22jCJT5q6qz/ZZg0u5BAqCRRySdpyV7Z8LPh3YfCX4deHvB2lzT3Nho1mlpFPc7fNl2jl22gDJOScADmitpW2XT/P+v8AgLRYwTS97f8Ar+vzb3OqoooqDQKKKKACiiigAooooAKKKKAP/9k= 1.0000000 0.3333333 0 true true abc Undefined Correct 0 Incorrect -1 Incorrect 1 Incorrect If r is a positive number and the point (x, y) is in the indicated quadrant, ... If r is a positive number and the point (x, y) is in the indicated quadrant, decide whether the given ratio is positive or negative.

IV, ]]> 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 1.0000000 0.3333333 0 true true abc Negative Correct Positive Incorrect Place your graphing calculator in parametric and degree modes. Set the ... Place your graphing calculator in parametric and degree modes. Set the window for Tmin=0, Tmax=360, Tstep=1, Xmin= -1.8, Xmax=1.8, Xscl=1, Ymin= -1.2, Ymax=1.2, Yscl=1. Set the functions to X1T=cos T, Y1T=sin T. Graph the circle of radius 1 on the screen. Use the trace feature to move a short distance around the circle.

For what angle T is sin T ≈ 0.087? (Assume 0° ≤ T ≤ 90°.)]]> 1.0000000 0.3333333 0 true true abc 5° Correct 85° Incorrect 0.087° Incorrect 57.079° Incorrect Sketch an angle θ in standard position such that θ has the smallest positive ... Sketch an angle θ in standard position such that θ has the smallest positive measure and the given point is on the terminal side of θ.

(-5, -3)
 ]]> 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 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> 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 Incorrect ]]> 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 Incorrect ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/wAALCACoAMgBAREA/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/9oACAEBAAA/AP1Toooooooooor4q/4Kj6BrmqfsnfE3VNS1L7JoOmf2YNL0vTp3X7VI9/aLJc3pwu7bveOO3G6NcGZzJI0ItfqrwLoGueFPt2kX2pf21oNvsOkX15O8uopGd262uWYHzvKwuy4LGSRXAlDSRtPP8V/AD9lv4jeD/jL8DoP7D1DSPhl8L/8AhJZ7SbxNFp8OolNSDBIGey1G7W5lDS5L+TaoFiY/MzKo+/6KKKKKKKKKKKKKKKKKKKKK+Kv+Co/jLV/+GTviboH/AAgniD+yv+JZ/wAVT5+nf2d/x/2j/c+1/avvfu/9R97n7nz19VeBfGWr+Lft39q+BPEHgr7Ps8v+3Z9Ol+07t2fL+x3dxjbtGd+37643fNjq6KKKKKKKKKKKKKKKKKKKKKK+P/8Agqxc65F+xj41isNO0+50WX7F/aV5cX7w3FtjUbQw+TCIXWbc2Q26SLYORvPy19VeFrnXLvQrWXxJp2n6VrTbvtFnpd+99bx/MQuyZ4YWfK7ScxrgkjkDcdaiiiiiiiiiiiiiiiiiiiiiivj/AP4KsW2uS/sY+NZbDUdPttFi+xf2lZ3Fg81xc51G0EPkzCZFh2tktujl3jgbD81fVXha21y00K1i8Sajp+q60u77ReaXYPY28nzErsheaZkwu0HMjZIJ4B2jWoooooooooooooooooooooor4/8A+CrGjXl7+xj41v4dd1DT7Sx+xfaNLt47c2+ob9RtFXzi8TSjyz8y+VJHkn5944r6q8LaNeeH9CtbC/13UPE13Du36pqkdulxPliw3i3iiiG0EKNsa8KM5OSdaiiiiiiiiiiiiiiiiiiiiiivj/8A4KseGbPVP2MfGurzTagl3pf2L7PHb6lcQW7+bqNoredAkginwB8vmq+w8ptJzX1V4W8M2fg/QrXSLCbULi0t92yTVNSuNQuDuYsd89xJJK/LHG5jgYAwAANaiiiiiiiiiiiiiiiiivNNE/aR+G3iP4oXPw807xTb3PiyCa5tTaiCZYZbi2SKS5t4bgoIZp4UmjaSGN2kjBO5RtbHpdFZPinxZofgbQrrW/Ems6f4f0W12/aNR1S6S2t4dzBF3yOQq5ZlUZPJYDqa4D/hpnwTL89pb+MNVtG5hv8ASfA2t31ncp/DLBcQ2bxTRMMMskbMjqQysQQa+Kv+Cl+v+Drn4E+LLzXfgd/whnxC177J9g8Ta6fDg1GfyLq1EvlvBfy3cu2HbGfLR9quobamSPqD4Q/GHwL4Z8Gx3vhP4Qax4O8CajNJNBqPhDSNO1exvLoHy2xFoU925bETKZWjCDydjOG2K3f6T+0b8PtS1Wy0y61q48MalfzJbafZ+L9Lu9Am1GVmCiO0S/ihNywZkBWEOVMkYbG9c+l0UUUUUUUUUUUUUUUV8K/Dv/gnbrHhDxV4F0G78Ted8MvAfiZvFGj3C63qUuo3ro4mtLWawkY6fb+XLLceZcQJvmVUCpC0krH7qryr/hMvF/xS/wCRGg0/SvBV5+6j8b3N2WvJU6vcafZGB4pomHyRXE0qoW/fCG4gEf2jV8LfA7wx4b1218Q3Q1DxR4pt9zQ674lv5dQuLaSRSs8lqshMVl5oYh0tEhjYbV2BURV9Ar4//wCCrHiaz0v9jHxrpE0OoPd6p9i+zyW+m3E9unlajaM3nTpGYoMg/L5rJvPCbiMV9VeFvE1n4w0K11ewh1C3tLjdsj1TTbjT7gbWKnfBcRxypypxuUZGCMggm3q2k2Ov6Ve6Zqdlb6jpt7C9tdWd3EssM8TqVeN0YEMrKSCpBBBINea/8KYuPAf+n/DXWtQ0aSD5h4X1PUprnQrtF4S1WOUStp8SqXWP7F5aRkoXhnSJYT0Hgrx9fapqsvhzxVpNv4a8YRQm7Fha3rXlpe2oZVM9pcNFEZlRnRJVaNHidl3Lslgkm7WiiiiiiiiiiiiiiivH5b2b47+MvEnhuewuIfhnoEyWV7dFo2g8U3uD59mGVyfslswEc6FR582+BiI4LiKf2Ciivj//AIKsazeWX7GPjWwh0LUNQtL77F9o1S3ktxb6fs1G0ZfODyrKfMPyr5UcmCPn2DmvqrwtrN54g0K1v7/QtQ8M3c27fpeqSW73EGGKjebeWWI7gAw2yNwwzg5A1qK5/wAa+CrHxzpUVrdS3FjeWkwu9O1WxZUu9OulVlWeBmVgGCu6lWVkkR5I5FeOR0bn/hN8QtU8Wf2/ofifS/7F8X+HL02d7CNqRX8BybbUrZBJIy21yqsVDMTHJHPCWdoGY+gUUUUUUUVUk1axh1W30yS9t01K5hluYLNpVE0sUbRrJIqZyyo00QZgMAyIDjcM26KKKK8/+P3xIuPhJ8GvFniqwt/tutWVkY9Isvsk119s1KUiGyt/Kh/eP5tzJDHhcff6qORq/CrwL/wrT4ceHPDD339q3em2UcV5qjReU+o3WN1xeSDcx82eYyTOSzMzyMWZiST1dFFfH/8AwVYudci/Yx8axWGnafc6LL9i/tK8uL94bi2xqNoYfJhELrNubIbdJFsHI3n5a+qvC1zrl3oVrL4k07T9K1pt32iz0u/e+t4/mIXZM8MLPldpOY1wSRyBuOtRRXinxgvrj4dfGX4W+NoZfs+i6tev4L8QrHp803mJdgvps0skR+Tyr2NLdGlVkX+1JsGMuSfa6KKKKKqaZq1jrVs9xp97b39uk01s0ttKsirLFI0UsZKkgMkiOjL1VlYHBBFW6+Ffhx/w2F/wlXjTZ/wo/wD4TH7aP7V/tv8Atj7Z9l3y/YfK2fJ9h2eZ5Hl/Lu+0eZ/pX2utX4l/8Nvf8I5Z/wDJH/8AkNaT/wAi1/bn2r/kI2/3/wDp2/5+P+nfz61fE3/DdX9nQ/Yf+FH+d9ttN39mf2n5vl/aI/M3faPk8rZu8zH7zy9/lfvdlHib/hur+zofsP8Awo/zvttpu/sz+0/N8v7RH5m77R8nlbN3mY/eeXv8r97so8Tf8N1f2dD9h/4Uf532203f2Z/afm+X9oj8zd9o+Tytm7zMfvPL3+V+92UeJv8Ahur+zofsP/Cj/O+22m7+zP7T83y/tEfmbvtHyeVs3eZj955e/wAr97srlfjh/wANhf8ACF6b/wAJD/wo/wCwf8JN4e8r+zP7Y837V/bNl9k3b+PK+0eT5mPm8vft+bFdV4m/4bq/s6H7D/wo/wA77babv7M/tPzfL+0R+Zu+0fJ5Wzd5mP3nl7/K/e7KPE3/AA3V/Z0P2H/hR/nfbbTd/Zn9p+b5f2iPzN32j5PK2bvMx+88vf5X73ZR4m/4bq/s6H7D/wAKP877babv7M/tPzfL+0R+Zu+0fJ5Wzd5mP3nl7/K/e7KPE3/DdX9nQ/Yf+FH+d9ttN39mf2n5vl/aI/M3faPk8rZu8zH7zy9/lfvdlfOv/BQLxr+0zbfAHxX4X+IEXwn1DQp4bK71hPBa6m19p9r9uiFvO7XDCJFkuI0iVTl5MTFFKwzPF9FeJv8Ahur+zofsP/Cj/O+22m7+zP7T83y/tEfmbvtHyeVs3eZj955e/wAr97so8Tf8N1f2dD9h/wCFH+d9ttN39mf2n5vl/aI/M3faPk8rZu8zH7zy9/lfvdlHib/hur+zofsP/Cj/ADvttpu/sz+0/N8v7RH5m77R8nlbN3mY/eeXv8r97so8Tf8ADdX9nQ/Yf+FH+d9ttN39mf2n5vl/aI/M3faPk8rZu8zH7zy9/lfvdlYHxe0n9tDWvClhb6hZfBe/t08QaHcrFocWtSTrLFqtrLFIwYECBJER5m6rCspGCAa3/E3/AA3V/Z0P2H/hR/nfbbTd/Zn9p+b5f2iPzN32j5PK2bvMx+88vf5X73ZR4m/4bq/s6H7D/wAKP877babv7M/tPzfL+0R+Zu+0fJ5Wzd5mP3nl7/K/e7KPE3/DdX9nQ/Yf+FH+d9ttN39mf2n5vl/aI/M3faPk8rZu8zH7zy9/lfvdlHib/hur+zofsP8Awo/zvttpu/sz+0/N8v7RH5m77R8nlbN3mY/eeXv8r97srK+Jf/Db3/COWf8AyR//AJDWk/8AItf259q/5CNv9/8A6dv+fj/p38+ur/4ze/6t/wD/ACuVz/wq1b4+6B+0Xq+p+Pr34T6d4JstMmufHd54Vl1CK3glS3RrSSZ7oiNbtYghZlIItQpn4+w19VRfELwrPc+G7eLxNo8lx4lhe50OJL+ItqsSxiV5LUbszKI2VyyZAVgehzWrJpNjNqtvqcllbvqVtDLbQXjRKZoopGjaSNXxlVdoYiyg4JjQnO0Yt0UUUVxXxr+F9j8avhH4v8C6gbeO31/TJ7Fbi5tVultZWQ+VcCNiAzRSbJF5BDIpBUgEHwX8a33xB+F/h/WtXit7bxC0LWmt2lorCG11S3dre/gTLNlY7mKeMMGZWCAqzghj2tFc/wCPPGtj8PvDM+tX8Vxcos1vaQWloqma6uridLe2gTcyoGkmlijDOyopcF2RQzD4g/b7+DV54X/Yl+Ivi3VNW+zeOtZ/sq98YtpENubPWrr7XZQxxF5Lfz1trULst1R422gtKZXeRn+6fC2jXnh/QrWwv9d1DxNdw7t+qapHbpcT5YsN4t4oohtBCjbGvCjOTknWooooooooorJfRP7L0K/s/Dcen6LdzfaZ7d2st9ul1MzyNNJCjxmTdM7SOA6s5ZjuBbdXgHwE/Yvt/wBnvxtoXiTQvFf2+b+xZ9J8QW9/pEOy7MlzJdh9OEbINLiFxNKTbQhoGTZlPNTzj9K0UUUUUV5VrHha4+FfjvxD8QdCtdQ1fTPEP2d/E+iW8k1xKjwRCGPUbKAEhpRCscc0CLvmjhiaLMsIhue10Dx/4d8VarJp+jatb6pcJpllrIe0Jkhksrtp1tp0lA2OshtpsbWPCgnAZSegrx/wHZTfFzx/B8T7i/uD4TsIbjT/AArorrG9vK3mvHLrm7ZktPGPLtmR2X7LI0gb/THjj8f/AOCrHhmz1T9jHxrq802oJd6X9i+zx2+pXEFu/m6jaK3nQJIIp8AfL5qvsPKbSc19VeFvDNn4P0K10iwm1C4tLfdsk1TUrjULg7mLHfPcSSSvyxxuY4GAMAADWoooooooooooooooooorn/GvhnUfFWlRWmmeLNY8HXCTCVr7RIrKSaRQrAxkXdvOm0lgchA2VGGAyDxXwd/Z70/4PeKvGHiKLxR4g8Tar4o+z/bH1o2aRQ+S9xJ+4htbeCOPfLdzyyYX55JHc/O7s3P/ABeuIfjr4yk+C2nz2934eihjuviHNZ6rJa3llZSDfZ6evlDO69aNxINw22scwO03EDV7rXxV/wAFaf8AhB/+GTte/t3/AIR//hM/9H/4Rv8AtHyP7R/4/wCz+1/Yt/7z/VbfM8v+HG7ivqr4W/8ACD/8IJpn/CuP+Ef/AOEM/e/YP+EW8j+zv9a/m+V5H7v/AFvmbtv8W7POa6uiiiiiiiiiiiiiiiiiiiuK+L3jW+8E+DZH0OK3u/FmqTR6VoFndKzxTahMdsTSIjB2giG6ecx5ZLeCdwDsNWvhp4F/4QDwrBY3V9/bWvXG261rXXi8qXVr8oiy3Trubbu2KFjBKxRpHEm2ONFHV18Vf8FR/iXpH/DJ3xN8I/Y/EH9q/wDEs/0j/hHNR/s7/j/tJf8Aj/8AI+y/d4/1v3vk+/8ALX1V4F+JekfET7d/ZVn4gtPsezzP7d8OajpG7fux5f2yCLzPunOzdtyucblz1dFFFFFFFFFFFFFFFFFFVNW1ax0DSr3U9TvbfTtNsoXubq8u5VihgiRSzyO7EBVVQSWJAABJrz/4d6TfeMvEP/Cx/ENlcabfGG80zQNKniaFrHS5LhGMsqsA5nuxa2s7JKqtAqxQ+WkiTvN6XRXx/wD8FWNZvLL9jHxrYQ6FqGoWl99i+0apbyW4t9P2ajaMvnB5VlPmH5V8qOTBHz7BzX1V4W1m88QaFa39/oWoeGbubdv0vVJLd7iDDFRvNvLLEdwAYbZG4YZwcga1FFFFFFFFFFFFFFFFFFeVeMf+Lt+O38CR/P4U0TybvxXu+eDU/Oil8nSDt/7Y3NwjMuYWto2jlivX2eq0UV8f/wDBVi51yL9jHxrFYadp9zosv2L+0ry4v3huLbGo2hh8mEQus25sht0kWwcjeflr6q8LXOuXehWsviTTtP0rWm3faLPS79763j+Yhdkzwws+V2k5jXBJHIG461FFFFFFFFFFFFFFFFFcV8TfGt94cttP0fw7Fb33jLW5lg02znVpFiiEka3N9KispMFtHJ5rAvGJG8qBZFknizq+APBVj8OvBuk+HNPluLq3sIRG15esr3N5KSWlubh1VRJPNIzyySYBeSR2PLGugoor4/8A+CrFtrkv7GPjWWw1HT7bRYvsX9pWdxYPNcXOdRtBD5MwmRYdrZLbo5d44Gw/NX1V4WttctNCtYvEmo6fqutLu+0Xml2D2NvJ8xK7IXmmZMLtBzI2SCeAdo1qKKKKKKKKKKKKKKKK4rxz8XvDvwzubr/hKZLjRdNh0yfVE1aaEvbXC28cs1zDGU3OZ44Ymm8oqGePe0Qk8qbyqnw38LapcXlx4z8X2vleLb/z4ba0eRXGjaa026GzjCFkWVkSB7lkd/MnUgSPDDbrH6BRRRXx/wD8FWNGvL39jHxrfw67qGn2lj9i+0aXbx25t9Q36jaKvnF4mlHln5l8qSPJPz7xxX1V4W0a88P6Fa2F/ruoeJruHdv1TVI7dLifLFhvFvFFENoIUbY14UZyck61FFFFFFFFFFFFFFFFZPinwnofjnQrrRPEmjaf4g0W62/aNO1S1S5t5trB13xuCrYZVYZHBUHqKwPBXwQ+HXw11WXU/CHgHwv4V1KWE20l5omjW1nM8RZWMZeNFJUsiHbnGVB7Cu1ooor4q/4Kj/DTSP8Ahk74m+LvtniD+1f+JZ/o/wDwkeo/2d/x/wBpF/x4ef8AZfu8/wCq+98/3/mr6q8C/DTSPh39u/sq88QXf2zZ5n9u+I9R1fbs3Y8v7ZPL5f3jnZt3YXOdq46uiiiiiiiiiiiiiiiiiiiiiivj/wD4KPeE/iH4j/Zs+IeieG9G1Dx5p2v/ANnfZ9O0u1El/pU0V5bO2yNAGuLaRYmY4DTRSEn95DJ/on0r4F/4SfUPt2s+Jf8AiV/b9n2Lw2vlP/ZkK7sedMmfNuX3Zk2OYU2pHHv2PPP1dFFFFFFFFFFFf//Z Incorrect Suppose that θ is in standard position and the given point is on the ... Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ.

(0, -4); Find csc θ.]]> 1.0000000 0.3333333 0 true true abc -1 Correct 1 Incorrect -4 Incorrect 4 Incorrect Suppose that θ is in standard position and the given point is on the ... Suppose that θ is in standard position and the given point is on the terminal side of θ. Give the exact value of the indicated trig function for θ.

(-20, 48); Find sin θ.]]> 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> 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 Incorrect ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAmABMDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9JPix4mv/AAh4Ev8AU9MuIbS/SW3hinuNMn1JUMk8cefssDpLMfn4RGDE4ArE+BXj668f+H9Tnv8AxNpviK/sr02s8dl4avfD81kwRW8qezvJ5Zkchg4LbMq6kAg5PXeMdN17U9FMfhrW7bQdYSRZIrm+sPt1swB+ZJYRJGzKQT9ySNgQp3EAq2Z8PfA934U/tfUNZ1OHWvEmtXCXOo31paG0t2KRLFGkMJkkaNFRBw0jkszHdyACOl/6/r8PXoOVrK39f18/RbnX0UUUCPmnx/8AB34QeCPHPgXRE/Z48AXul+JNS/syTV30TT4hbSm3uJ1CRCBmkOLZt2dgG9MMx3BaXjL4M/D3wj4x0W3/AOGZfhreeE9R1W30g6ktjYjUFklz++SzFmUeFTyxM6uFV28vC8+k/G7wj448U+JPh3d+FNM8P3tn4d1v+2bttZ1ieykfFtcW4jjWO0mB4uS+4svKBcHduXnfiT8D9Z+LHjuxudc8K+CIY9M1C2utO8d2s0v/AAkFpbwXC3CW8URt/wB2SQ0ZcXW352fyjnZVLltF+evpp/S79LlVHG3u78v46/8AAb/4c98oooqSQooooAKKKKAP/9k= Incorrect ]]> 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 Incorrect Trig Function Given Equation An equation of the terminal side of an angle θ in standard position is given along with the quadrant of the angle θ.  Find sin θ.  Enter answer as a simplified fraction.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»-«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#160;«/mo»«mo»+«/mo»«mi»y«/mi»«mo»=«/mo»«mn»0«/mn»«mo»§#160;«/mo»«mo»,«/mo»«mo»§#160;«/mo»«mi»x«/mi»«mo»§#8805;«/mo»«mn»0«/mn»«mo».«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>a</mi><mo>/</mo><mo>(</mo><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><mn>1</mn></mrow></msqrt><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Pre-Calc/Trig Unit 1: Trig Functions/1.4 Using Trig Functions Cos function given ordered pair Suppose that θ is in standard position and the given point is on the terminal side of θ.  Give the exact value of the indicated trig function for θ.

(#a , #b );  Find cos θ

Give answer as a simplified fraction

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>a</mi><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Identify the quadrant for the angle θ satisfying the following conditions.... Identify the quadrant for the angle θ satisfying the following conditions.

sin θ > 0 and cos θ < 0]]> 1.0000000 0.3333333 0 true true abc Quadrant II Correct Quadrant I Incorrect Quadrant III Incorrect Quadrant IV Incorrect Sin function given ordered pair Suppose that θ is in standard position and the given point is on the terminal side of θ.  Give the exact value of the indicated trig function for θ.

(#a , #b );  Find sin θ

Give answer as a simplified fraction

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>b</mi><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Tan function given ordered pair Suppose that θ is in standard position and the given point is on the terminal side of θ.  Give the exact value of the indicated trig function for θ.

(#a , #b );  Find tan θ

Give answer as a simplified fraction

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>5</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>b</mi><mi>a</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Trig Values given quadrant II Find tan θ, given that  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cos«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mo»-«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«/math» and θ is in quadrant II.  Enter answer as a simplified fraction.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>&nbsp;</mo><mo>(</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>-</mo><mfrac><msqrt><mrow><msup><mi>b</mi><mn>2</mn></msup><mo>-</mo><msup><mi>a</mi><mn>2</mn></msup></mrow></msqrt><mi>a</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Trig Values given quadrant III Find cos θ, given that  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«/math» and θ is in quadrant II.  Enter answer as a simplified fraction.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>12</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>&nbsp;</mo><mo>(</mo><mn>5</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>-</mo><mfrac><mi>b</mi><msqrt><mrow><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>a</mi><mn>2</mn></msup></mrow></msqrt></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Trig Values given quadrant IV Find sin θ, given that  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»cos«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«/math» and θ is in quadrant IV.  Enter answer as a simplified fraction.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>1</mn><mo>,</mo><mn>4</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>&nbsp;</mo><mo>(</mo><mn>5</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>-</mo><mfrac><msqrt><mrow><msup><mi>b</mi><mn>2</mn></msup><mo>-</mo><msup><mi>a</mi><mn>2</mn></msup></mrow></msqrt><mi>b</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Trig Values given sign of cofunction Find cos θ, given that  «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»=«/mo»«mo»-«/mo»«mfrac»«mrow»«mo»#«/mo»«mi»a«/mi»«/mrow»«mrow»«mo»#«/mo»«mi»b«/mi»«/mrow»«/mfrac»«/math» and sin θ > 0.  Enter answer as a simplified fraction.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>&nbsp;</mo><mo>(</mo><mn>2</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>-</mo><mfrac><mi>b</mi><msqrt><mrow><msup><mi>b</mi><mn>2</mn></msup><mo>+</mo><msup><mi>a</mi><mn>2</mn></msup></mrow></msqrt></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Use Reciprocal Identities (Fractions) Use the appropriate identity to find the indicated function value. Simplify the fraction.


cos θ, given that sec θ = #a

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>8</mn><mo>,</mo><mo>-</mo><mn>2</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mn>1</mn><mi>a</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Use Reciprocal Identity (Decimal) Use the appropriate identity to find the indicated function value. If the given value is a decimal, round your answer to three decimal places.

cot θ, given that tan θ = #a

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>0004</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>9999</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mn>1</mn><mi>a</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-3)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Pre-Calc/Trig Unit 1: Trig Functions/2.1 Trig Functions: Acute Angles Evaluate the function requested. Write your answer as a fraction in lowest ... Evaluate the function requested. Write your answer as a fraction in lowest terms.




Find tan A.]]> 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 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> 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 Incorrect ]]> 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 Incorrect ]]> 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 Incorrect Find a solution for the equation. Assume that all angles are acute angles.... Find a solution for the equation. Assume that all angles are acute angles.

sin(2β + 15°) = cos(3β - 25°)]]> 1.0000000 0.3333333 0 true true abc 20° Correct 21° Incorrect 22° Incorrect 19.5° Incorrect Give exact function value Without using a calculator, give the exact trig function value with rational denominator at «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mn»45«/mn»«mo»§#176;«/mo»«/math» for:

#a =

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>=</mo><mi>random</mi><mo>(</mo><mo>{</mo><mi>sin</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mi>cos</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mi>sec</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>,</mo><mi>cosec</mi><mo>(</mo><mi>x</mi><mo>)</mo><mo>}</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>f</mi><mo>(</mo><mi>x</mi><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>&nbsp;</mo><mi>f</mi><mo>(</mo><mn>45</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo></math></input></command></group></library><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Solve cofunctions equation for an angle Find a solution.  Assume all angles are acute.  Round to tenths.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»s«/mi»«mi»e«/mi»«mi»c«/mi»«mo»(«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mn»15«/mn»«mo»§#176;«/mo»«mo»)«/mo»«mo»=«/mo»«mi»c«/mi»«mi»s«/mi»«mi»c«/mi»«mo»(«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mn»0«/mn»«mo»§#176;«/mo»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mfrac><mn>75</mn><mrow><mo>(</mo><mi>a</mi><mo>+</mo><mn>1</mn><mo>)</mo></mrow></mfrac><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo><mn>0</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Suppose ABC is a right triangle with sides of lengths a, b, and c and right ... Suppose ABC is a right triangle with sides of lengths a, b, and c and right angle at C. Find the unknown side length using the Pythagorean theorem and then find the value of the indicated trigonometric function of the given angle. Rationalize the denominator if applicable.

Find csc B when a = 9 and b = 10.]]> 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> /9j/4AAQSkZJRgABAQAAAQABAAD/2wBDAAMCAgMCAgMDAwMEAwMEBQgFBQQEBQoHBwYIDAoMDAsKCwsNDhIQDQ4RDgsLEBYQERMUFRUVDA8XGBYUGBIUFRT/2wBDAQMEBAUEBQkFBQkUDQsNFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBQUFBT/wAARCAAoACUDASIAAhEBAxEB/8QAHwAAAQUBAQEBAQEAAAAAAAAAAAECAwQFBgcICQoL/8QAtRAAAgEDAwIEAwUFBAQAAAF9AQIDAAQRBRIhMUEGE1FhByJxFDKBkaEII0KxwRVS0fAkM2JyggkKFhcYGRolJicoKSo0NTY3ODk6Q0RFRkdISUpTVFVWV1hZWmNkZWZnaGlqc3R1dnd4eXqDhIWGh4iJipKTlJWWl5iZmqKjpKWmp6ipqrKztLW2t7i5usLDxMXGx8jJytLT1NXW19jZ2uHi4+Tl5ufo6erx8vP09fb3+Pn6/8QAHwEAAwEBAQEBAQEBAQAAAAAAAAECAwQFBgcICQoL/8QAtREAAgECBAQDBAcFBAQAAQJ3AAECAxEEBSExBhJBUQdhcRMiMoEIFEKRobHBCSMzUvAVYnLRChYkNOEl8RcYGRomJygpKjU2Nzg5OkNERUZHSElKU1RVVldYWVpjZGVmZ2hpanN0dXZ3eHl6goOEhYaHiImKkpOUlZaXmJmaoqOkpaanqKmqsrO0tba3uLm6wsPExcbHyMnK0tPU1dbX2Nna4uPk5ebn6Onq8vP09fb3+Pn6/9oADAMBAAIRAxEAPwD9U68D+KdvF43+Md7pmo3Pi2PRvB/heDUX0vwlrN/Yz6tc6ldyxQZ+xzQtmAaXKo8xih+3MzGIRFm7Hxr4b8a2niaLxfoutXGrJpswC+D7fZbQ3unmBlnh3yMUa7aYxzRzSFFAtorcG3Wa5nk5D4E+ObPx/pfxL+LHhm1u/GWieItVjbw3cWoSK6v9PtbC2gNvELpojEiXy6ntjlMa75JZBxLvaZbMqO6uciNP+G1z8NfBfi+wHxY1J/GPkrouhQfEXWUv7mSSF5vLPmaosKFY45GJaUL8uAxJUGvpcfw31O98IWbWnxlsrnxFqc+jFbrx1rqJpt5ELgvDcSDUyhb/AEWbHktKOFJwrqxr6b8J/Eeufsy/C7wn4v8AhlrGoweGngi1jwzb6nYQ6jO8EBEFzZ3Md2qIEmKPkXEMmFPUfI90+C/HnhbRfhNp9n4C8Q61p2g+LJ9aS0TVdOmn0jTDb3cEFrNNPdRmaZftKElWlAVWBlkKhn6VGLqyj9m+jutv69dtWnoU+RJtdE/vs7afJL1ezW31XRRRWBmeVf8ACm/F3/RdviB/4A+Hv/lVWLd/CLUPh74d1C/m+OvjLQNFtTcahdyrp3hyGFGd2mnmbGkgbnd3dj1ZmYnJJr2+uX+J/hvSfF3w98QaTri3raVcWcnnnTI5JLtAo3B4VjVnaVSoZQqsSwGFPQzJtJtFRV2keReBLO6+I1xfWuj/AB8+J8N/YhHuNO1nw3pOl3kaPnZJ9nutFikMbFWAkC7SVYA5Ugdh/wAKb8Xf9F2+IH/gD4e/+VVcn+zz4I8U3PjzxF8Q/Eep+Jrqz1DT7fSdIg8Xx28GptbxyPK081vbRRQ24ZpMJGYxLtXMuGOxPoGtGrbqz/r0+7psQndvt/X63/MyfC2jXnh/QrWwv9d1DxNdw7t+qapHbpcT5YsN4t4oohtBCjbGvCjOTkkrWoqRhRRRQAUUUUAFFFFAH//Z Incorrect ]]> 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 Incorrect ]]> 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 Incorrect Trig function given 2 sides of right triangle Suppose ABC is a right triangle with sides of length a, b, and c and right angle at C.  Find the unknown side using the Pythagorean Theorem, then find the value of:

csc B when a=#a and b=#b

Rational if necessary.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>6</mn><mo>,</mo><mn>10</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mrow><mi>b</mi><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt></mrow><mrow><mo>(</mo><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup><mo>)</mo></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Trig function given 2 sides of right triangle (II) Suppose ABC is a right triangle with sides of length a, b, and c and right angle at C.  Find the unknown side using the Pythagorean Theorem, then find the value of:

Sin A when b=#b and c=#c

Rational if necessary.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>4</mn><mo>,</mo><mn>7</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>8</mn><mo>,</mo><mn>15</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><msqrt><mrow><msup><mi>c</mi><mn>2</mn></msup><mo>-</mo><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt><mi>c</mi></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_simplified"/><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Write function in terms of cofunction (II) Write the function in terms of its cofunction.  Assume that any angle in which an unknown appears is an acute angle

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»sin«/mi»«mo»(«/mo»«mi»§#952;«/mi»«mo»+«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»)«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>20</mn><mo>,</mo><mn>60</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>cos</mi><mo>(</mo><mn>90</mn><mo>-</mo><mi>a</mi><mo>-</mo><mi>θ</mi><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Write the function in terms of its cofunction. Assume that any angle in ... Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.

sec(θ - 21°)]]> 1.0000000 0.3333333 0 true true abc csc(111° - θ) Correct sec(159° - θ) Incorrect cos(111° - θ) Incorrect csc(69° - θ) Incorrect Write the function in terms of its cofunction. Assume that any angle in ... Write the function in terms of its cofunction. Assume that any angle in which an unknown appears is an acute angle.

tan 83°]]> 1.0000000 0.3333333 0 true true abc cot 7° Correct cot 97° Incorrect cot 83° Incorrect tan 173° Incorrect Pre-Calc/Trig Unit 1: Trig Functions/2.2 Trig Functions: Non-Acute Angles Find all values of θ, if θ is in the interval [0, 360°) and has the given ... Find all values of θ, if θ is in the interval [0, 360°) and has the given function value.

sin θ = - ]]> 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 1.0000000 0.3333333 0 true true abc 210° and 330° Correct 60° and 120° Incorrect 60° and 300° Incorrect 150° and 210° Incorrect Find Reference Angle Find the reference angle for:

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«msup»«mo»§#160;«/mo»«mo»§#176;«/mo»«/msup»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>190</mn><mo>,</mo><mn>260</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>a</mi><mo>-</mo><mn>180</mn></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find the exact trigonometric function value.sec (-135°) Find the exact trigonometric function value.

sec (-135°)]]> 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> 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 Incorrect -1 Incorrect ]]> 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 Incorrect Give the exact value.cos 210° Give the exact value.

cos 210°]]> 1.0000000 0.3333333 0 true true abc ]]> 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 Correct ]]> 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 Incorrect ]]> 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 Incorrect ]]> 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 Incorrect Pre-Calc/Trig Unit 1: Trig Functions/2.3 Find Trig Values: Calculator Evaluate Csc (degree/minutes) Use a calculator to find the function value. Give your answer rounded to three decimal places.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»c«/mi»«mi»s«/mi»«mi»c«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»`«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>70</mn><mo>,</mo><mn>88</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>59</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mn>1</mn><mrow><mi>sin</mi><mo>(</mo><mo>&nbsp;</mo><mi>a</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mi>b</mi><csymbol definitionURL="http://.../units/minute/angular">&apos;</csymbol><mo>)</mo></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Evaluate Tan (degree/minutes) Use a calculator to find the function value. Give your answer rounded to four decimal places, if necessary.

«math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»tan«/mi»«mo»§#160;«/mo»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»`«/mo»«/math»

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>40</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>2</mn><mo>,</mo><mn>59</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>tan</mi><mo>(</mo><mo>&nbsp;</mo><mi>a</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mi>b</mi><csymbol definitionURL="http://.../units/minute/angular">&apos;</csymbol><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in ... Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in decimal degrees rounded to seven decimal places, if necessary.

csc θ = 1.3749283]]> 1.0000000 0.3333333 0 true true abc 46.6614079° Correct 36.0287946° Incorrect 43.3385921° Incorrect 53.9712054° Incorrect Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in ... Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in decimal degrees rounded to seven decimal places, if necessary.

cos θ = 0.32512855]]> 1.0000000 0.3333333 0 true true abc 71.0266367° Correct 288.973363° Incorrect 108.973363° Incorrect 18.9733633° Incorrect Grade Resistance (solve for F) The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin θ, where W is the weight of the car and θ is the angle of the hill's grade (θ > 0 for uphill travel, θ < 0 for downhill travel). What is the grade resistance (to the nearest pound) of a #a -lb car traveling uphill on a 1° grade ()?

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>9000</mn><mo>,</mo><mn>11000</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>a</mi><mo>*</mo><mo>(</mo><mi>sin</mi><mo>&nbsp;</mo><mo>(</mo><mn>1</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_no_more_decimals"><param name="digits">0</param></assertion><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Grade Resistance (solve for W) The grade resistance F of a car traveling up or down a hill is modeled by the equation F = W sin θ, where W is the weight of the car and θ is the angle of the hill's grade (θ > 0 for uphill travel, θ < 0 for downhill travel). What is the weight of a car that experiences a grade resistance of #a when traveling downhill on a 4° grade  (θ= - 4°) ?  Round to the nearest pound.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>195</mn><mo>,</mo><mo>-</mo><mn>150</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mo>(</mo><mi>sin</mi><mo>&nbsp;</mo><mo>(</mo><mo>-</mo><mn>4</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo><mo>)</mo></mrow></mfrac></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"/></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="check_no_more_decimals"><param name="digits">0</param></assertion><assertion name="syntax_expression"/><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Inverse Cos (degrees) (calculator) Find a value of θ in [0°, 90°] that satisfies the statement. Leave answer in decimal degrees rounded to two decimal places, if necessary.

cos θ = #a

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>92</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mo>(</mo><mi>acos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>convert</mi><mo>(</mo><mi>b</mi><mo>,</mo><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>c</mi></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>n</mi><mi>s</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_expression"><param name="functions">exp, log, ln, sinh, cosh, tanh, asinh, acosh, atanh, min, max, sign</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Inverse Cos (radians) (calculator) Find θ in the interval «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨[¨ close=¨]¨»«mrow»«mn»0«/mn»«mo»,«/mo»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«/math» such that cos θ = #a

If your answer is greater than 1, round to thousandths.  If answer is less than 1, round to ten thousandths.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>02</mn><mo>,</mo><mn>0</mn><mo>.</mo><mn>92</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mi>acos</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Inverse Tan (radians) (calculator) Find θ in the interval «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mfenced open=¨[¨ close=¨]¨»«mrow»«mn»0«/mn»«mo»,«/mo»«mfrac»«mi mathvariant=¨normal¨»§#960;«/mi»«mn»2«/mn»«/mfrac»«/mrow»«/mfenced»«/math» such that tan θ = #a

If your answer is greater than 1, round to thousandths.  If answer is less than 1, round to ten thousandths.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>0</mn><mo>.</mo><mn>22</mn><mo>,</mo><mn>3</mn><mo>.</mo><mn>92</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><mi>atan</mi><mo>(</mo><mi>a</mi><mo>)</mo><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-4)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Solve the problem.A formula used by an engineer to determine the safe radius ... Solve the problem.

A formula used by an engineer to determine the safe radius of a curve, R, when designing a road is: 
 where α is the superelevation of the road and V is the velocity (in feet per second) for which the curve is designed. If   ft per sec, f = 0.1 and  find R. Round to the nearest foot.]]> 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 1.0000000 0.3333333 0 true true abc R = 1903 ft Correct R = 1906 ft Incorrect R = 1900 ft Incorrect R = 1913 ft Incorrect Pre-Calc/Trig Unit 1: Trig Functions/2.4 Solving Right Triangles Find distance to ranger station (Angle of Depression) From a balloon 900 feet high, the angle of depression to the ranger headquarters is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»`«/mo»«/math».  How far is the headquarters from a point on the ground directly below the balloon (to the nearest foot)?

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>50</mn><mo>,</mo><mn>70</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>55</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mn>900</mn><mrow><mi>tan</mi><mo>&nbsp;</mo><mo>(</mo><mi>a</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mi>b</mi><csymbol definitionURL="http://.../units/minute/angular">&apos;</csymbol><mo>)</mo></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find distance to tower (Angle of Depression) From the top of a vertical tower, #a feet above the the surface of the earth, the angle of depression to a doghouse is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«msup»«mn»61«/mn»«mo»§#176;«/mo»«/msup»«mn»45«/mn»«mo»`«/mo»«/math».  How far is it from the doghouse to the foot of the tower? Round your answer to the hundredths place.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>320</mn><mo>,</mo><mn>340</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mi>tan</mi><mo>(</mo><mn>61</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mn>45</mn><csymbol definitionURL="http://.../units/minute/angular">&apos;</csymbol><mo>)</mo></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units">m, s, g</param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param><param name="groupoperators">(,[,{</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">5</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find height of building (Angle of Elevation) A contractor needs to know the height of a building to estimate the cost of a job. From a point #a ft from the base of the building, the angle of elevation to the top of the building is found to be 40°46'. Find the height of the building. Round your answer to the hundredths place.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>75</mn><mo>,</mo><mn>90</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>tan</mi><mo>(</mo><mn>40</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mn>46</mn><csymbol definitionURL="http://.../units/minute/angular">&apos;</csymbol><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-2)</option><option name="relative_tolerance">false</option><option name="precision">4</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find height of cliff (Angle of Elevation) From a boat on a lake, the angle of elevation to the top of a cliff is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»b«/mi»«mo»§#160;«/mo»«mo»`«/mo»«mo»§#160;«/mo»«mo»#«/mo»«mi»c«/mi»«mo»§#160;«/mo»«mo»``«/mo»«/math».  If the base of the cliff is 655 feet from the boat, how high is the cliff (to the nearest foot)?

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>35</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>10</mn><mo>,</mo><mn>50</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>c</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>5</mn><mo>,</mo><mn>55</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>655</mn><mo>*</mo><mi>tan</mi><mo>(</mo><mi>a</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mi>b</mi><csymbol definitionURL="http://.../units/minute/angular">&apos;</csymbol><mi>c</mi><csymbol definitionURL="http://.../units/second/angular">&apos;&apos;</csymbol><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Find length of shadow (Pythagorean Theorem) On a sunny day, a tree and its shadow form the sides of a right triangle.  If the hypotenuse is 35 meters long and the tree is #a meters tall, how long is the shadow?  Round to the nearest meter.

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>25</mn><mo>,</mo><mn>30</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><msqrt><mrow><msup><mn>35</mn><mn>2</mn></msup><mo>-</mo><msup><mi>a</mi><mn>2</mn></msup></mrow></msqrt><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">2</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Solve the right triangle. If two sides are given, give angles in degrees ... Solve the right triangle. If two sides are given, give angles in degrees and minutes.




A = 18° 19', c = 276 ft
Round side lengths to two decimal places.]]> 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 1.0000000 0.3333333 0 true true abc B = 71° 41'; a = 86.74 ft; b = 262.02 ft Correct B = 71° 40'; a = 89.94 ft; b = 263.22 ft Incorrect B = 71° 41'; a = 86.17 ft ; b = 261.13 ft Incorrect B = 72° 40'; a = 86.74 ft; b = 258.02 ft Incorrect Solve the right triangle.B = 42.1°, c = 4.2 mm, C = 90° Solve the right triangle.

B = 42.1°, c = 4.2 mm, C = 90°]]> 1.0000000 0.3333333 0 true true abc a = 3.1 mm, A = 47.9°, b = 2.8 mm Correct a = 2.8 mm, A = 47.9°, b = 3.1 mm Incorrect a = 2.3 mm, A = 47.9°, b = 3.5 mm Incorrect a = 3.1 mm, A = 47.9°, b = 2.3 mm Incorrect Pre-Calc/Trig Unit 1: Trig Functions/2.5 Apps of Right Triangles Bearing and distrance traveled (Pythagorean Theorem) A ship travels #a km on a bearing of 10°, and then travels on a bearing of 100° for #b km. Find the shortest distance from the starting point to the end of the trip, to the nearest kilometer.

]]> 1.0000000 0.3333333 0 0 #answer <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>90</mn><mo>,</mo><mn>110</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>b</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>140</mn><mo>,</mo><mn>160</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mo>(</mo><msqrt><mrow><msup><mi>a</mi><mn>2</mn></msup><mo>+</mo><msup><mi>b</mi><mn>2</mn></msup></mrow></msqrt><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer>#answer</correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="precision">3</option><option name="relative_tolerance">false</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Describe bearing An observer for a radar station is located at the origin of a coordinate system. For the point given, find the bearing of an airplane located at that point. Express the bearing using both methods.
(#a , #a)
 
]]> 1.0000000 0.3333333 0 true true ABCD 315°; N 45° W

]]> 225°; S 45° W

]]> 225°; S 45° E

]]> 315°; N 45° E

]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mo>-</mo><mn>7</mn><mo>,</mo><mo>-</mo><mn>1</mn><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer></correctAnswer></correctAnswers><options><option name="precision">1</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="casSession">null</data></localData></question> Distance to fire (bearing) A fire is sighted due west of lookout A.  The bearing of the fire from lookout B, which is #a miles due south of lookout A, is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»N«/mi»«mo»§#160;«/mo»«mn»48«/mn»«mo»§#176;«/mo»«mn»22«/mn»«mo»`«/mo»«mo»§#160;«/mo»«mi»W«/mi»«/math».  How far is the fire from lookout B (to the nearest tenth of a mile)?

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>4</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>5</mn><mo>.</mo><mn>8</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mfrac><mi>a</mi><mrow><mi>cos</mi><mo>(</mo><mn>48</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mn>22</mn><csymbol definitionURL="http://.../units/minute/angular">&apos;</csymbol><mo>)</mo></mrow></mfrac></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="precision">3</option><option name="relative_tolerance">false</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Radio direction finders Radio direction finders are set up at points A and B, #a miles apart on an east-west line.  From A it is found that the bearing of a signal from a transmitter is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»N«/mi»«mo»§#160;«/mo»«mn»54«/mn»«mo».«/mo»«mn»3«/mn»«mo»§#176;«/mo»«mo»§#160;«/mo»«mi»E«/mi»«/math», while from B it is «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mi»N«/mi»«mo»§#160;«/mo»«mn»35«/mn»«mo».«/mo»«mn»7«/mn»«mo»§#176;«/mo»«mo»§#160;«/mo»«mi»W«/mi»«/math».  Find the distance of the transmitter from B (to the nearest tenth of a mile).

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>7</mn><mo>.</mo><mn>5</mn><mo>,</mo><mn>9</mn><mo>.</mo><mn>5</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mi>a</mi><mo>*</mo><mi>sin</mi><mo>(</mo><mn>35</mn><mo>.</mo><mn>7</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-1)</option><option name="precision">2</option><option name="relative_tolerance">false</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Solve the problem.The angle of elevation from a point on the ground to the ... Solve the problem.

The angle of elevation from a point on the ground to the top of a tower is 37° 52'.
The angle of elevation from a point 106 feet farther back from the tower is 24° 9'. Find the height of the tower. Round your answer to the hundredths place.

]]> 1.0000000 0.3333333 0 true true ABCD 112.26 ft

]]> Correct

]]> 122.76 ft

]]> Incorrect

]]> 108.02 ft

]]> Incorrect

]]> 1122.64 ft

]]> Incorrect

]]> 140.78 ft

]]> Use bearing to find distance traveled (Cos) An airplane travels at 110 km/h for 5 hr in a direction (bearing)  of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«/math» from Glenview Naval Air Station. At the end of this time, how far east of the Glenview Naval Air Station is the plane (to the nearest kilometer)?

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>105</mn><mo>,</mo><mn>160</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>550</mn><mo>*</mo><mi>cos</mi><mo>(</mo><mi>a</mi><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>-</mo><mn>90</mn><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mo>)</mo><mo>*</mo><mn>1</mn><mo>.</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="precision">3</option><option name="relative_tolerance">false</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question> Use bearing to find distance traveled (Sin) A boat sails for 5 hours at 30 mph in a bearing of «math xmlns=¨http://www.w3.org/1998/Math/MathML¨»«mo»#«/mo»«mi»a«/mi»«mo»§#160;«/mo»«mo»§#176;«/mo»«mo»§#160;«/mo»«mn»30«/mn»«mo»`«/mo»«/math». How far south has it sailed (to the nearest mile)?

]]> 1.0000000 0.3333333 0 0 #answer]]> <question><wirisCasSession><![CDATA[<session lang="en" version="2.0"><library closed="false"><mtext style="color:#ffc800" xml:lang="en">variables</mtext><group><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>a</mi><mo>=</mo><mi>random</mi><mo>(</mo><mn>93</mn><mo>,</mo><mn>150</mn><mo>)</mo></math></input></command><command><input><math xmlns="http://www.w3.org/1998/Math/MathML"><mi>answer</mi><mo>=</mo><mn>150</mn><mo>*</mo><mi>sin</mi><mo>(</mo><mo>(</mo><mi>a</mi><mo>-</mo><mn>90</mn><mo>)</mo><csymbol definitionURL="http://.../units/degree/angular">°</csymbol><mn>30</mn><csymbol definitionURL="http://.../units/minute/angular">&apos;</csymbol><mo>)</mo></math></input></command></group></library></session>]]></wirisCasSession><correctAnswers><correctAnswer type="mathml"><![CDATA[<math xmlns="http://www.w3.org/1998/Math/MathML"><mo>#</mo><mi>a</mi><mi>ns</mi><mi>w</mi><mi mathvariant="normal">e</mi><mi>r</mi></math>]]></correctAnswer><correctAnswer id="1"></correctAnswer></correctAnswers><assertions><assertion name="syntax_quantity"><param name="units"><![CDATA[m, s, g, sr, E, K, mol, cd, rad, h, min, l, N, Pa, Hz, W, J, C, V, Ω, F, S, Wb, b, H, T, lx, lm, Gy, Bq, Sv, kat]]></param><param name="unitprefixes">M, k, c, m, y, z, a, f, p, n, µ, d, da, h, G, T, P, E, Z, Y</param></assertion><assertion name="equivalent_symbolic"/></assertions><options><option name="tolerance">10^(-0)</option><option name="relative_tolerance">false</option><option name="precision">3</option><option name="implicit_times_operator">false</option><option name="times_operator">·</option><option name="imaginary_unit">i</option></options><localData><data name="inputField">inlineEditor</data><data name="gradeCompound">and</data><data name="gradeCompoundDistribution"></data><data name="casSession">null</data></localData></question>