Pf exam: 250311rr – trigonometric functions

Exam: 250311RR – Trigonometric Functions

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1. Find the reference angle for 96°.

A.

B. 16°

C. 84°

D. 94°

 

2. Which of the following equations is true about the right triangle shown above?

 

3. Given  and , use identities to find sec t.

 

4. Use a calculator to find the value of the expression sin

–1(–0.6). Round your answer to two decimal

places.

A. –0.64

B. 2.21

C. –36.87

D. 126.87

 

5. Which of these functions, when graphed, is the same as a translation of the graph of y = sin x?

A. y = cot x

B. y = cos x

C. y = tan x

D. y = sec x

 

6. Use reference angles to find the exact value of the expression . Don’t use a calculator.

 

7. Convert the angle 54° to radians. Express your answer as a multiple of

 

8. Find the exact value of the expression cos

 

–1

(–1).

9. In the right triangle below, C is the right angle and the two sides are given. Find cos θ. Give an exact

answer with a rational denominator.

 

10. Graph the function

 

11. Convert the angle  in radians to degrees.

 

12. A car wheel has a 16-inch radius. Through what angle (to the nearest tenth of a degree) does the wheel

turn when the car rolls forward 3 feet?

A. 128.9°

B. 133.9°

C. 143.9°

D. 138.9°

 

13. Find a positive angle less than 360° that’s coterminal with the angle .

 

14. Find the radian measure of the central angle of a circle of radius r = 1.3 meters that intercepts an arc of

length s = 2.34 meters.

A. 0.77 radians

B. 1.7 radians

C. 0.65 radians

D. 1.8 radians

 

15. Use a sketch to find the exact value of the expression .

 

16. Draw the angle below in standard position.

 

17. Find a cofunction with the same value as tan 52°.

A. cot 38°

B. cot 142°

C. sec 52°

D. cot 52°

 

18. Find the radian measure of the central angle of a circle with radius r = 1.8 meters that intercepts an arc

s = 4.14 meters.

A. 1.6 radians

B. 0.56 radians

C. 2.3 radians

D. 0.9 radians

 

19. Convert the angle below to degrees. Round your answer to two decimal places.

 

A. 310.58°

B. 309.58°

C. 307.58°

D. 308.57°

 

 

20. Convert the angle of 160° to radians. Express your answer as a multiple of .

 

 

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