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1. |
Find the value of n to the nearest degree. |
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A. |
90° |
B. |
53° |
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C. |
37° |
D. |
45° |
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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. |
A = 72°, b = 1.3, c = 3.9 |
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B. |
A = 72°, b = 4.1, c = 1.3 |
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C. |
A = 72°, b = 3.9, c = 4.1 |
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D. |
A = 72°, b = 1.3, c = 4.1 |
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Hint |
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3. |
Find the equivalent degree measure of an angle that measures radians. |
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A. |
-270° |
B. |
-315° |
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C. |
-180° |
D. |
-225° |
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Hint |
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4. |
Name one positive angle and one negative angle that is coterminal with -40°. |
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A. |
–400°, 320° |
B. |
-180°, 320° |
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C. |
–400°, 310° |
D. |
400°, -310° |
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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. |
Find the remaining measures of ABC. Round measures of the sides to the nearest tenth. |
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A. |
B = 51.0°, C = 14°, c = 4.6 |
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B. |
B = 51.5°, C = 13.5°, c = 4.6 |
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C. |
B = 51.0°, C = 14°, c = 4.7 |
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D. |
B = 51.5°, C = 13.5°, c = 4.7 |
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Hint |
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7. |
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 two sides and the included angle. |
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C. |
Law of Cosines because you know the measure of three sides. |
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D. |
Law of Sines because you know the measure of a side and two angles. |
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Hint |
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8. |
Find the exact value of sin 510°. |
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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 tan . |
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A. |
1.6641 |
B. |
0.8571 |
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C. |
0.6508 |
D. |
0.7203 |
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Hint |
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10. |
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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11. |
Solve if A = 36°, B = 67°, and a = 8. |
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A. |
b = 14.89, C = 77°, c = 17.11 |
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B. |
b = 12.53, C = 77°, c = 4.83 |
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C. |
b = 12.53, C = 77°, c = 13.3 |
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D. |
b = 14.89, C = 77°, c = 16.8 |
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Hint |
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12. |
In which of the following cases should the procedure begin with the law of cosines? |
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A. |
Given: one side and three angles |
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B. |
Given: two angles and any side |
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C. |
Given: two sides and an angle opposite one of them |
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D. |
Given: two sides and their included angle |
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Hint |
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13. |
Suppose that there is a periodic function f(x) such that f(10) = f(40). Which of the following cannot be the period? |
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A. |
15 |
B. |
6 |
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C. |
4 |
D. |
5 |
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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 x = y if and only if Sin-1 x = y |
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C. |
[Sin-1 Sin](x) = [Sin Sin-1](x) = x |
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D. |
Its domain is the set of real numbers from –1 to 1. |
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Hint |
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