Exam 4: Graphing and Inverse Functions

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Use a calculator to evaluate the expression to the nearest tenth of a degree. Use a calculator to evaluate the expression to the nearest tenth of a degree.   ​

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The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct. The graph below is one complete cycle of the graph of an equation containing a trigonometric function. Find an equation to match the graph. If you are using a graphing calculator, graph your equation to verify that it is correct.   ​

(Multiple Choice)
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Sketch the graph from Sketch the graph from    to   .   ​  to Sketch the graph from    to   .   ​ . Sketch the graph from    to   .   ​

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Use a calculator to evaluate each expression to the nearest tenth of a degree. Use a calculator to evaluate each expression to the nearest tenth of a degree.   ​

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Use your graphing calculator to graph the function between Use your graphing calculator to graph the function between    and   . Show the graph of   ,   , and   . (Make sure your calculator is set to radian mode.)​   ​  and Use your graphing calculator to graph the function between    and   . Show the graph of   ,   , and   . (Make sure your calculator is set to radian mode.)​   ​ . Show the graph of Use your graphing calculator to graph the function between    and   . Show the graph of   ,   , and   . (Make sure your calculator is set to radian mode.)​   ​ , Use your graphing calculator to graph the function between    and   . Show the graph of   ,   , and   . (Make sure your calculator is set to radian mode.)​   ​ , and Use your graphing calculator to graph the function between    and   . Show the graph of   ,   , and   . (Make sure your calculator is set to radian mode.)​   ​ . (Make sure your calculator is set to radian mode.)​ Use your graphing calculator to graph the function between    and   . Show the graph of   ,   , and   . (Make sure your calculator is set to radian mode.)​   ​

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Evaluate without using a calculator. Evaluate without using a calculator.   ​

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Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​  Sketch the graph of y = csc  x between x = -4 π  and x  =  4 π  by extending the graph for x between 0 and 2 π .  ​    ​

(Multiple Choice)
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Find the equation of the line. Write your answer in slope-intercept form, Find the equation of the line. Write your answer in slope-intercept form,   .  . Find the equation of the line. Write your answer in slope-intercept form,   .

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Find the algebraic expression that is equal to sec  θ  - cos(- θ ). ​

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Evaluate without using a calculator. Evaluate without using a calculator.

(Essay)
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Sketch the graph from Sketch the graph from    to   .   ​  to Sketch the graph from    to   .   ​ . Sketch the graph from    to   .   ​

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Evaluate the expression without using a calculator, and write your answer in radians. Evaluate the expression without using a calculator, and write your answer in radians.   ​

(Multiple Choice)
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Sketch the graph from Sketch the graph from    to   .   ​  to Sketch the graph from    to   .   ​ . Sketch the graph from    to   .   ​

(Multiple Choice)
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Find all values of x for which the following is true: sec x = -1 ​

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Identify the graph of the equation over the given interval. Identify the graph of the equation over the given interval.   ​

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Evaluate without using a calculator. Evaluate without using a calculator.   ​

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Simplify Simplify   if    . ​ if  Simplify   if    . ​ . ​

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Use addition of y -coordinates to sketch the graph of the function between Use addition of y -coordinates to sketch the graph of the function between    and   .   ​  and Use addition of y -coordinates to sketch the graph of the function between    and   .   ​ . Use addition of y -coordinates to sketch the graph of the function between    and   .   ​

(Multiple Choice)
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Use the graph of the equation Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​  shown below to identify the graph of one complete cycle of the equation Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​ . Use the graph of the equation    shown below to identify the graph of one complete cycle of the equation   .   ​

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Graph one complete cycle of Graph one complete cycle of   . Label the axes accurately. ​ . Label the axes accurately. ​

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