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1. |
Find the value of j rounded to the nearest tenth. |
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A. |
49.3 |
B. |
13.2 |
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C. |
197.1 |
D. |
663.4 |
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Hint |
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2. |
Solve  . Round measures of sides to the nearest tenth and measures of angles to the nearest degree. |
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A. |
E = 64°, d = 12.9, e = 14.4 |
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B. |
E = 64°, d = 11.7 e = 14.4 |
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C. |
E = 64°, d = 14.4, e = 12.9 |
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D. |
E = 64°, d = 12.9, e = 11.4 |
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Hint |
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3. |
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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4. |
What is -240° expressed in 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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5. |
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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6. |
Determine whether the Law of Sines or the Law of Cosines should be used to solve this triangle. Then find the measure of C to the nearest tenth. |
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A. |
Law of Cosines, C = 66.9° |
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B. |
Law of Cosines, C = 59.6° |
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C. |
Law of Sines, C = 53.6° |
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D. |
Law of Sines, C = 57.3° |
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Hint |
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7. |
Point P(0.8, 0.6) is located on a unit circle. Find sin , cos , and
tan . |
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A. |
sin = 0.6, cos = 0.8, tan = 0.75 |
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B. |
sin = 0.8, cos = 0.6, tan = .75 |
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C. |
sin = 0.8, cos = 0.6, tan =  |
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D. |
sin = 0.6, cos = 0.8, tan = |
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Hint |
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8. |
Find the exact value of  . |
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A. |
–2 |
B. |
 |
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C. |
– |
D. |
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Hint |
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9. |
Determine whether  has no solution, one solution, or two solutions if A = 46°, a = 11, and b = 15. |
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A. |
2 solutions |
B. |
0 solutions |
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C. |
1 solution |
D. |
cannot be determined from given information |
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Hint |
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10. |
Solve if A = 36°, B = 67°, and a = 8. |
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A. |
b = 14.89, C = 77°, c = 16.8 |
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B. |
b = 12.53, C = 77°, c = 4.83 |
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C. |
b = 14.89, C = 77°, c = 17.11 |
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D. |
b = 12.53, C = 77°, c = 13.3 |
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Hint |
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11. |
What method should be used when we have one side and one angle opposite that side? |
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A. |
law of cosines only |
B. |
cannot be determined from given information |
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C. |
law of cosines, then law of sines |
D. |
law of sines |
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Hint |
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12. |
What is the exact value of sin 870°? |
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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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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. |
36.9° |
B. |
31.0° |
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C. |
59.0° |
D. |
53.1° |
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Hint |
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14. |
Which of the following is not necessarily true concerning the Arcsin function? |
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A. |
Its range is the set of angle measures from  |
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B. |
[Sin-1  Sin](x) = [Sin Sin-1](x) = x |
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C. |
Its domain is the set of real numbers from –1 to 1. |
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D. |
Sin x = y if and only if Sin-1 x = y |
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Hint |
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