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1. |
Express as a trigonometric function of an angle in Quadrant I. |
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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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2. |
If csc = 2, find sin . |
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A. |
 |
B. |
2 |
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C. |
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D. |
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Hint |
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3. |
Find a numerical value of one trigonometric function of x if  |
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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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4. |
Solve the equation cos 2x = sin x for 0° x < 360°. |
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A. |
30°, 210°, 270° |
B. |
30°, 150°, 270° |
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C. |
90°, 150°, 270° |
D. |
30°, 90°, 150° |
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Hint |
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5. |
Find the distance between P(5, -3) and the line with equation 5x + 12y = 18. |
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A. |
13 |
B. |
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C. |
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D. |
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Hint |
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6. |
Complete the identity sin4 x - cos4 x = __________. |
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A. |
0 |
B. |
sin2 x - cos2 x |
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C. |
tan4 x |
D. |
1 |
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Hint |
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7. |
Find the value of cos (x - y) if 0 < x < , 0 < y < , sin x = , and cos y = . |
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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. |
Complete the identity tan ( - A) = ________. |
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A. |
-cot A |
B. |
-tan A |
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C. |
cot A |
D. |
tan A |
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Hint |
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9. |
If cos = and has its terminal side in the first quadrant, find the exact value of sin 2 . |
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A. |
2 |
B. |
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C. |
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D. |
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Hint |
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10. |
If cos = and has its terminal side in the first quadrant, find the exact value of cos . |
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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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11. |
Solve 4 sin2 x + 3 = 4 for principal values of x. Express solutions in radians. |
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A. |
,  |
B. |
- ,  |
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C. |
,  |
D. |
- , |
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Hint |
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12. |
For the line given by the equation 5x - 7y + 24, what is the length of the normal through the origin? |
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A. |
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B. |
 |
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C. |
2 |
D. |
24 |
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Hint |
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13. |
For the line given by the equation 5x - 7y + 24, what is the angle formed by the x-axis and the normal through the origin? |
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A. |
144° |
B. |
36° |
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C. |
126° |
D. |
54° |
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Hint |
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14. |
Find the distance between the lines given by the equations y = x - and 2x - 5y = 28. |
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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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