Exam: 250311RR – Trigonometric Functions
1. Find the reference angle for 96°.
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
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
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?
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.
20. Convert the angle of 160° to radians. Express your answer as a multiple of .
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