# Using Trigonometric Functions 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.
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 2
2.
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*?

#### Question 3 3. Consider a right triangle on the unit circle. If theta (θ) is 90, then cos(θ) is _____.

#### Question 4 4. Convert the following measurement in radian to degrees.

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Question 5
5.
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*?

### Page 2

#### Question 6 6. If sin(θ) = 1/2, what is the value of θ in degrees?

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Question 7
7.
In the pictured triangle, ∠A is 81 degrees and ∠B is 67 degrees. If side *a* is 34 units long, approximately how long is side *b*?

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Question 8
8.
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.

#### Question 9 9. The radius of a unit circle is _____.

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Question 10
10.
In the pictured triangle, side *a* is 17 and side *c* is 20. If ∠B is 19 degrees, then approximately how long is side *b*? Round the value of the cosine to the nearest whole number.

### Page 3

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Question 11
11.
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*?

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

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Question 13
13.
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.

#### Question 14 14. What is 165° in radians?

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Question 15
15.
Which of the following is equal to tan(2*x*)?

### Page 4

#### Question 16 16. In a right triangle, the sine of an angle is equal to _____.

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Question 17
17.
Find the value of cos(2*x*) if sin(*x*) = 5/13 and *x* is in Quadrant II.

#### Question 18 18. The lines a and b are parallel lines of length 5 and 2. The lines d and e are parallel to one another, and both are perpendicular to a and b. What is the length of c?

#### Question 19 19. What is the value of tan(π/3)?

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Question 20
20.
Which of the following is equal to cos(2*x*)?

### Page 5

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Question 21
21.
Which of the following is equal to sin(2*x*)?

#### Question 22 22. What is the value of cos(30°)?

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Question 23
23.
In the pictured triangle, ∠A is 98 degrees and ∠B is 12 degrees. If side *a* is 84 units long, approximately how long is side *b*?

#### Question 24 24. If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

#### Question 25 25. If theta of a right triangle on the unit circle is θ = 0, then what is the cosine of theta (θ)?

### Page 6

#### Question 26 26. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

#### Question 27 27. Perform the following calculation. Report the answer in radians.

#### Question 28 28. What is x?

#### Question 29 29. What angle measure divides the first quadrant in half?

#### Question 30 30. What is the following radian measure in degrees?

#### Using Trigonometric Functions 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!