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1. Find a positive angle less than 360° that's coterminal with the angle .
2. Which of these functions, when graphed, is the same as a translation of the graph of y = sin x?
A. y = tan x
B. y = sec x
C. y = cos x
D. y = cot x
3. Solve the right triangle shown in the figure below when A = 51.9° and c = 51.2. Round lengths to one decimal place and express angles to the nearest tenth of a degree.
A. B = 38.1°, a = 40.3, b = 31.6
B. B = 51.9°, a = 31.6, b = 40.3
C. B = 51.9°, a = 40.3, b = 31.6
D. B = 38.1°, a = 31.6, b = 40.3
4. Which of these is a solution to the equation cos x = 0.7?
A. x = sin 0.7
B.
C. x = 0.795°
D. x = 45.6°
5. 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
6. From a boat on the river below a dam, the angle of elevation to the top of the dam is 25°. If the dam is 2,039 feet above the level of the river, how far is the boat from the base of the dam (to the nearest foot)?
A. 4,370 feet
B. 4,730 feet
C. 4,738 feet
D. 4,373 feet
7. Find a cofunction with the same value as tan 52°.
8. Find the length of the arc on a circle of radius r = 9 feet intercepted by a central angle θ = 75°. Round your answer to two decimal places.
9. 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.
10. Use reference angles to find the exact value of the expression . Don't use a calculator.
11. Use a sketch to find the exact value of the expression .
12. Use the given graph to obtain the graph of
13. Find the reference angle for an angle of 133°.
A. 47°
B. 43°
C. 57°
D. 53°
14. Draw the angle below in standard position.
15. 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. 133.9°
B. 143.9°
C. 138.9°
D. 128.9°
16. Graph the function
17. Convert the angle below to degrees. Round your answer to two decimal places.
A. 309.58°
B. 308.57°
C. 307.58°
D. 310.58°
18. A car wheel has a radius of 16 inches. Through what angle (to the nearest tenth of a degree) does the wheel turn when the car rolls forward 4 feet?
A. 181.9°
B. 171.9°
C. 176.9°
D. 186.9°
19. Find the exact value of the expression cos–1(–1).
20. Convert the angle of 160° to radians. Express your answer as a multiple of .
