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1. |
Find the value of n to the nearest degree. |
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A. |
45° |
B. |
37° |
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C. |
90° |
D. |
53° |
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Hint |
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2. |
Change 120° to radian measure. |
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A. |
 |
B. |
 |
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C. |
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D. |
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Hint |
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3. |
Name one positive angle and one negative angle that is
coterminal with -40°. |
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A. |
-180°, 320° |
B. |
400°, -310° |
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C. |
–400°, 310° |
D. |
–400°, 320° |
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Hint |
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4. |
What is sin  if is in standard position, its terminal side lies in quadrant IV, and sec  ? |
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A. |
 |
B. |
 |
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C. |
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D. |
 |
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Hint |
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5. |
Should the Law of Cosines or the Law of Sines be used to solve  ABC? Explain. |
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A. |
Law of Sines because you know the measure of two sides and the angle opposite one of the sides. |
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B. |
Law of Cosines because you know the measure of three sides. |
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C. |
Law of Sines because you know the measure of a side and two angles. |
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D. |
Law of Cosines because you know the measure of two sides and the included angle. |
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Hint |
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6. |
Find the exact value of sin 510°. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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7. |
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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8. |
If Cos- 1  , what is the value of y? |
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A. |
90° |
B. |
60° |
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C. |
30° |
D. |
45° |
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Hint |
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9. |
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 4° |
B. |
about 8° |
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C. |
about 10° |
D. |
about 18° |
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Hint |
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10. |
What is the reference angle of 240°? |
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A. |
–60° |
B. |
60° |
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C. |
–120° |
D. |
120° |
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Hint |
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11. |
Which of the following situations will not result in one single solution? |
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A. |
A is acute, a < b sin A |
B. |
A is acute, a = b sin A |
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C. |
A is obtuse, a > b |
D. |
A is acute,  |
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Hint |
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12. |
Determine whether  has no solution, one solution, or two solutions if A = 46°, a = 11, and b = 15. |
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A. |
cannot be determined from given information |
B. |
2 solutions |
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C. |
1 solution |
D. |
0 solutions |
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Hint |
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13. |
In which of the following cases should the procedure begin with the law of cosines? |
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A. |
Given: two sides and an angle opposite one of them |
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B. |
Given: one side and three angles |
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C. |
Given: two sides and their included angle |
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D. |
Given: two angles and any side |
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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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