# Overview of Trigonometry: Tutoring Solution Chapter Exam

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!

### Page 1

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Question 1
1.
Find the value of cos(2*x*) if sin(*x*) = 5/13 and *x* is in Quadrant II.

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Question 2
2.
Find the value of sin(2*x*) if cos(*x*) = 2/5 and *x* is between 270 and 360 degrees.

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Question 3
3.
Solve the following trigonometric equation for *θ*.

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Question 4
4.
In the pictured triangle, side *a* is 9 and side *b* is 6. If ∠C is 26 degrees, then approximately how long is side *c*? Round the value of the cosine to the nearest whole number.

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Question 5
5.
In the pictured triangle, side *a* is 23, side *b* is 18, and side *c* is 16. What is the approximate measure of ∠C? When calculating the inverse cosine, round the initial value to the nearest whole number.

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Question 6
6.
In the pictured triangle, side *a* is 32, side *b* is 24, and side *c* is 37. What is the approximate measure of ∠C? When calculating the inverse cosine, round the initial value to the nearest whole number.

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Question 7
7.
Solve for the value of *x* in the trigonometric equation below. (Use the domain -π/2 to π/2)

#### Question 8 8. What is x?

#### Question 9 9. What is the value of tan(π/3)?

#### Question 10 10. What is 165° in radians?

### Page 3

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Question 11
11.
What's the value of sec2 (*θ*) given that the equation below is true?

#### Question 12 12. What is x?

#### Question 13 13. Simplify the following expression.

#### Question 14 14. A tangent function has an amplitude (steepness) of 3, period of π, a transformation of π/2 to the right, and a transformation down 1. What is the equation for this trigonometric function?

#### Question 15 15. Convert the following measurement in radian to degrees.

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#### Question 16 16. What is x?

#### Question 17 17. What is x?

#### Question 18 18. What is x?

#### Question 19 19. A tangent function undergoes the following transformations: reflection, vertical stretch of 2, period of π/2. What is the equation for this trigonometric function?

#### Question 20 20. Perform the following calculation. Report the answer in radians.

### Page 5

#### Question 21 21. Simplify the following expression. Report the answer in degrees.

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Question 22
22.
In the pictured triangle, side *b* is 12 and side *c* is 16. If ∠A is 84 degrees, then approximately how long is side *a*? Round the value of the cosine to the nearest whole number.

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Question 23
23.
Solve the following equation for *θ*.

#### Question 24 24. What is the following radian measure in degrees?

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Question 25
25.
In the pictured triangle, ∠A is 137 degrees and ∠B is 28 degrees. If side *b* is 71 units long, approximately how long is side *a*?

### Page 6

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Question 26
26.
In the pictured triangle, ∠A is 58 degrees and ∠C is 63 degrees. If side *a* is 84 units long, approximately how long is side *c*?

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Question 27
27.
Which of the following is equal to cos(2*x*)?

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Question 28
28.
Which of the following is equal to tan(2*x*)?

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Question 29
29.
In the pictured triangle, ∠A is 62 degrees and ∠C is 86 degrees. If side *a* is 112 units long, approximately how long is side *c*?

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Question 30
30.
Which of the following is equal to sin(2*x*)?

#### Overview of Trigonometry: Tutoring Solution Chapter Exam Instructions

Choose your answers to the questions and click 'Next' to see the next set of questions. You can skip questions if you would like and come back to them later with the yellow "Go To First Skipped Question" button. When you have completed the practice exam, a green submit button will appear. Click it to see your results. Good luck!