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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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>