# 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

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.

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

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.

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.

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°

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