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# Trigonometric Functions: Tutoring Solution Chapter Exam

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 "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

#### Question 1 1. What is 165° in radians?

#### Question 2 2. What is the following radian measure in degrees?

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

#### Question 4 4. What is the value of cos(30°)?

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

### Page 2

####
Question 6
6.
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 answer to the nearest whole number.

#### Question 7 7. If the short leg of a 30-60-90 triangle is 6, approximately how long is the hypotenuse?

####
Question 8
8.
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 answer to the nearest whole number.

#### Question 9 9. What is x?

####
Question 10
10.
In the pictured triangle, side *a* is 32, side *b* is 24, and side *c* is 37. What is the approximate measure of ∠C?

Round the answer to the nearest whole number

### Page 3

#### Question 11 11. You can find the cosine value of an angle by looking at what value on the unit circle?

#### Question 12 12. In a right triangle, the sine of an angle is equal to _____.

####
Question 13
13.
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 answer to the nearest whole number.

####
Question 14
14.
Which of the following is equal to cos(2*x*)?

####
Question 15
15.
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 4

#### Question 16 16. Simplify the following expression. Report the answer in degrees.

####
Question 17
17.
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 18
18.
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 19 19. If theta of a right triangle on the unit circle is θ = 0, then what is the cosine of theta (θ)?

#### Question 20 20. In a right triangle, find the cosine of an angle whose adjacent side has a length of 1 unit, whose opposite side has a length of 1 unit, and whose hypotenuse has a length of √2.

### Page 5

#### Question 21 21. What radian angle measure is half of the first quadrant of the unit circle?

####
Question 22
22.
Find the value of sin(2*x*) if cos(*x*) = 2/5 and *x* is between 270 and 360 degrees.

#### Question 23 23. If the hypotenuse of a 45-45-90 triangle is 31, approximately how long is the leg?

#### Question 24 24. What is x?

#### Question 25 25. What is the value of tan(π/3)?

### Page 6

#### Question 26 26. If the hypotenuse of a 30-60-90 triangle is 18, approximately how long is the short leg?

####
Question 27
27.
Which of these angles can replace *x* in tan (*x*)?

####
Question 28
28.
In the pictured triangle, side *a* is 23, side *b* is 18, and side *c* is 16. What is the approximate measure of ∠C?

Round the answer to the nearest whole number

####
Question 29
29.
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*?

#### Question 30 30. If the long leg of a 30-60-90 triangle is 23, approximately how long is the short leg?

#### Trigonometric Functions: 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 "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!

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