Exam 4: Graphing and Inverse Functions

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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.

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Sketch the graph of Sketch the graph of   . ​ . ​

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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.   ​

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Use your graphing calculator to graph Use your graphing calculator to graph   in degree mode. Use the graph with the appropriate command to evaluate the expression.   ​ in degree mode. Use the graph with the appropriate command to evaluate the expression. Use your graphing calculator to graph   in degree mode. Use the graph with the appropriate command to evaluate the expression.   ​

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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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Using the graph of Using the graph of    for reference, select the correct graph for   . ​   ​ ​  for reference, select the correct graph for Using the graph of    for reference, select the correct graph for   . ​   ​ ​ . ​ Using the graph of    for reference, select the correct graph for   . ​   ​ ​ ​ ​

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Find all values of x for which the following is true. sec x is undefined. ​

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Give the amplitude and period of the graph. Give the amplitude and period of the graph.   ​

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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.

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Use your graphing calculator to graph Use your graphing calculator to graph   in degree mode. Use the graph with the appropriate command to evaluate the expression.   ​ in degree mode. Use the graph with the appropriate command to evaluate the expression. Use your graphing calculator to graph   in degree mode. Use the graph with the appropriate command to evaluate the expression.   ​

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

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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.

(Essay)
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Evaluate without using a calculator. Evaluate without using a calculator.

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Sketch the graph of Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​  from x = 0 to x = 2 π  by making a table using multiples of Sketch the graph of    from x = 0 to x = 2 π  by making a table using multiples of    for x . ​  for x . ​

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If If   , find sin(- θ ). , find sin(- θ ).

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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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Match each value of x below with the letter of the corresponding function.
Premises:
Responses:
cot x
tan x
Correct Answer:
Verified
Premises:
Responses:
cot x
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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.

(Essay)
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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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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   .   ​

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