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1. |
Change 120° to radian measure. |
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A. |
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B. |
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C. |
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D. |
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Hint |
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2. |
Change  to degrees. |
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A. |
90° |
B. |
135° |
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C. |
45° |
D. |
180° |
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Hint |
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3. |
Find the exact value of sin  , cos , and tan if the terminal side of in standard position contains the point (5, 12). |
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A. |
sin  , cos  , tan  |
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B. |
sin , cos , tan |
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C. |
sin , cos , tan |
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D. |
sin , cos , tan |
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Hint |
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4. |
If is an angle in standard position whose terminal side lies in quadrant III and  find the exact value of the tan . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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5. |
Determine whether  PQR has no solution, one solution, or two solutions. |
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A. |
There is one solution because p > r sin p. |
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B. |
There are two solutions because r > p > r sin P. |
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C. |
There is one solution because p < r sin P. |
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D. |
There is no solution because p = r sin P. |
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Hint |
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6. |
Find the measure of B and C. Round the measure of angles to the nearest tenth. |
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A. |
B = 40°, C = 81.9° |
B. |
B = 58.1°, C = 40° |
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C. |
B = 58.1°, C = 81.9° |
D. |
B = 81.9°, C = 58.1° |
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Hint |
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7. |
Determine the period of the function shown below. |
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A. |
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B. |
-1 |
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C. |
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D. |
1 |
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Hint |
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8. |
Determine the exact value of cos  . |
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A. |
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B. |
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C. |
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D. |
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Hint |
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9. |
Solve . |
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A. |
A = 16°, B = 74° |
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B. |
A = 5°, B = 85° |
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C. |
A = 16°, B = 164° |
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D. |
A = 17°, B = 73° |
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Hint |
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10. |
A long ramp that leads to a building entrance is 45 feet. The stairs to the entrance have a vertical height of 6 feet. What is the angle of incline of the ramp? |
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A. |
about 18° |
B. |
about 4° |
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C. |
about 8° |
D. |
about 10° |
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Hint |
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11. |
In A = 32°, a =8, and b = 7. Find C. |
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A. |
20.7° |
B. |
30.4° |
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C. |
110.7° |
D. |
120.4° |
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Hint |
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12. |
What method should be used when we have one side and one angle opposite that side? |
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A. |
law of sines |
B. |
law of cosines, then law of sines |
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C. |
cannot be determined from given information |
D. |
law of cosines only |
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Hint |
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13. |
Suppose Alex wants to kick a ball over a 10-foot fence. Assuming that gravity has no effect, at what angle would he have to kick the ball if he were standing 6 feet away from the fence? |
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A. |
53.1° |
B. |
31.0° |
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C. |
36.9° |
D. |
59.0° |
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Hint |
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14. |
What is the value of Arccos  in radians? |
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A. |
1.17 radians |
B. |
0.59 radians |
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C. |
33.6 radians |
D. |
0.41 radians |
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Hint |
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