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1. |
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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2. |
Should the Law of Cosines or the Law of Sines be used to solve  ABC? Explain. |
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A. |
Law of Cosines because you know the measure of three sides. |
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B. |
Law of Sines because you know the measure of a side and two angles. |
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C. |
Law of Cosines because you know the measure of two sides and the included angle. |
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D. |
Law of Sines because you know the measure of two sides and the angle opposite one of the sides. |
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Hint |
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3. |
Solve y = Arctan  . |
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A. |
60° |
B. |
40.8° |
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C. |
30° |
D. |
56.3° |
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Hint |
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4. |
Solve . |
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A. |
A = 16°, B = 74° |
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B. |
A = 16°, B = 164° |
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C. |
A = 5°, B = 85° |
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D. |
A = 17°, B = 73° |
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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 4° |
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C. |
about 8° |
D. |
about 18° |
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Hint |
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6. |
How would the angle 130° be constructed? |
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A. |
Draw the terminal side of the angle 40° counter-clockwise past the positive y-axis. |
B. |
Draw the terminal side of the angle 40° counter-clockwise past the negative y-axis. |
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C. |
Draw the terminal side of the angle 50° counter-clockwise past the positive x-axis. |
D. |
Draw the terminal side of the angle 50° counter-clockwise past the negative x-axis. |
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Hint |
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7. |
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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8. |
What is the reference angle of  ? |
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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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9. |
Determine whether has no solution, one solution, or two solutions if A = 46°, a = 11, and b = 15. |
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A. |
0 solutions |
B. |
2 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 = 12.53, C = 77°, c = 4.83 |
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B. |
b = 14.89, C = 77°, c = 16.8 |
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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. |
Suppose a triangle has three sides which measure 10, 13, and 17. What is the measure of the largest angle? |
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A. |
85.6° |
B. |
88.7° |
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C. |
94.4° |
D. |
91.3° |
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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 range |
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C. |
the domain |
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 period of the function represented by the graph? |
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A. |
25 |
B. |
50 |
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C. |
10 |
D. |
150 |
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Hint |
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14. |
Simplify [tan (Arc tan x)] × [(Arc sin (sin y)]. |
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A. |
x2y2 |
B. |
xy |
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C. |
x |
D. |
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Hint |
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