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Exam 12: Trigonometric Functions

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Exam 1: Preliminaries183 Questionsadd course
Exam 2: Functions, Limits, and the Derivative250 Questionsadd course
Exam 3: Differentiation309 Questionsadd course
Exam 4: Applications of the Derivative152 Questionsadd course
Exam 5: Exponential and Logarithmic Functions256 Questionsadd course
Exam 6: Integration291 Questionsadd course
Exam 7: Additional Topics in Integration202 Questionsadd course
Exam 8: Calculus of Several Variables219 Questionsadd course
Exam 9: Differential Equations57 Questionsadd course
Exam 10: Probability and Calculus68 Questionsadd course
Exam 11: Taylor Polynomials and Infinite Series110 Questionsadd course
Exam 12: Trigonometric Functions64 Questionsadd course
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Evaluate the given integral. ​ Evaluate the given integral. ​

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Question 1
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Evaluate the given integral. ​ Evaluate the given integral. ​

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Question 2
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Evaluate the integral. ​ Evaluate the integral. ​

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Question 3
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Verify the identity. ​ Verify the identity. ​

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Question 4

Find the derivative of the function. ​ Find the derivative of the function. ​

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Question 5

Identify the quadrant in which each of the angles lies. Answer 1, 2, 3 or 4. ​ 220° lies in quadrant __________. ​ -100° lies in quadrant __________. ​ 430° lies in quadrant __________. ​ -330° lies in quadrant __________.

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Question 6

Convert the given angle to degree measure. ​ Convert the given angle to degree measure. ​ radians = __________° radians = __________°

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Question 7

Find the derivative of the function. ​ Find the derivative of the function. ​

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Question 8

The revenue of a certain Fish Shanty, located at a popular summer resort, is approximately ​ The revenue of a certain Fish Shanty, located at a popular summer resort, is approximately ​ ​ during the <sup>th</sup> week ( , which corresponds to the first week of June), where is measured in thousands of dollars. What is the total revenue realized by the restaurant over the 10-wk period starting June 1? $__________ The revenue of a certain Fish Shanty, located at a popular summer resort, is approximately ​ ​ during the <sup>th</sup> week ( , which corresponds to the first week of June), where is measured in thousands of dollars. What is the total revenue realized by the restaurant over the 10-wk period starting June 1? $__________ ​ during the The revenue of a certain Fish Shanty, located at a popular summer resort, is approximately ​ ​ during the <sup>th</sup> week ( , which corresponds to the first week of June), where is measured in thousands of dollars. What is the total revenue realized by the restaurant over the 10-wk period starting June 1? $__________ th week ( The revenue of a certain Fish Shanty, located at a popular summer resort, is approximately ​ ​ during the <sup>th</sup> week ( , which corresponds to the first week of June), where is measured in thousands of dollars. What is the total revenue realized by the restaurant over the 10-wk period starting June 1? $__________ , which corresponds to the first week of June), where The revenue of a certain Fish Shanty, located at a popular summer resort, is approximately ​ ​ during the <sup>th</sup> week ( , which corresponds to the first week of June), where is measured in thousands of dollars. What is the total revenue realized by the restaurant over the 10-wk period starting June 1? $__________ is measured in thousands of dollars. What is the total revenue realized by the restaurant over the 10-wk period starting June 1? $__________

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Question 9

Convert the given angle to radian measure. ​ ​305°

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Question 10

Find the equation of the tangent line to the graph of the function Find the equation of the tangent line to the graph of the function at the point . at the point Find the equation of the tangent line to the graph of the function at the point . .

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Question 11

Find all values of θ that satisfy the equation over the interval [0, 2π]. ​ Find all values of θ that satisfy the equation over the interval [0, 2π]. ​

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Question 12

Find the derivative of the function. ​ Find the derivative of the function. ​

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Question 13

Find all values of θ that satisfy the equation over the interval [0, 2π]. ​ Find all values of θ that satisfy the equation over the interval [0, 2π]. ​

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Question 14

Convert the given angle to degree measure. ​ Convert the given angle to degree measure. ​ radians = __________° radians = __________°

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Question 15

Convert the given angle to degree measure. ​ Convert the given angle to degree measure. ​ radians = __________° ​ radians = __________° ​

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Question 16

Convert the given angle to degree measure. ​ Convert the given angle to degree measure. ​ radians = __________° radians = __________°

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Question 17

Verify the identity. ​ Verify the identity. ​

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Question 18

Convert the given angle to radian measure. ​ 80°

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Question 19

Find the derivative of the function. ​ Find the derivative of the function. ​

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Question 20
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