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1. |
Find the value of x. Round to the nearest tenth. |
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A. |
20.3 |
B. |
131.6 |
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C. |
2.1 |
D. |
78.8 |
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Hint |
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2. |
Choose the angle that measures  . |
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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. |
Determine the exact value of sin 150°. |
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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. |
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 =  |
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B. |
sin = 0.8, cos = 0.6, tan = |
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C. |
sin = 0.8, cos = 0.6, tan = .75 |
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D. |
sin = 0.6, cos = 0.8, tan = 0.75 |
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Hint |
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5. |
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 10° |
B. |
about 8° |
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C. |
about 4° |
D. |
about 18° |
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Hint |
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6. |
What is the degree measure of the angle through which the hour hand on a clock rotates from 4:00 P.M. to 8:00 P.M.? |
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A. |
90° |
B. |
–120° |
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C. |
–90° |
D. |
120° |
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Hint |
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7. |
Suppose Johnny was standing at the origin. Then, he walked northwest at an angle of 60° with respect to west. If the distance that he traveled is 16 units, what is his present position? |
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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. |
Determine whether  has no solution, one solution, or two solutions if A = 46°, a = 11, and b = 15. |
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A. |
1 solution |
B. |
cannot be determined from given information |
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C. |
2 solutions |
D. |
0 solutions |
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Hint |
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9. |
Solve if A = 36°, B = 67°, and a = 8. |
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A. |
b = 12.53, C = 77°, c = 4.83 |
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B. |
b = 12.53, C = 77°, c = 13.3 |
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C. |
b = 14.89, C = 77°, c = 16.8 |
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D. |
b = 14.89, C = 77°, c = 17.11 |
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Hint |
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10. |
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: two angles and any side |
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C. |
Given: two sides and their included angle |
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D. |
Given: one side and three angles |
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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 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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12. |
The period of a function is which of the following? |
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A. |
360° |
B. |
the domain |
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C. |
the range |
D. |
least positive value of a for which f(x) = f(x + a) |
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Hint |
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13. |
What is the value of Arccos  in radians? |
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A. |
1.17 radians |
B. |
33.6 radians |
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C. |
0.59 radians |
D. |
0.41 radians |
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Hint |
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14. |
Simplify [tan (Arc tan x)] × [(Arc sin (sin y)]. |
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A. |
xy |
B. |
x |
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C. |
x2y2 |
D. |
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Hint |
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