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 ]]> 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 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 ]]> 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 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°)]]> 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 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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Correct ]]> 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 Incorrect ]]> 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 Incorrect ]]> 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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 ]]> 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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>