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1. |
Express cot (-840°) as a trigonometric function of an angle in Quadrant I. |
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A. |
tan 60° |
B. |
- cot 60° |
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C. |
cot 60° |
D. |
- tan 60° |
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Hint |
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2. |
Complete the identity of _________. |
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A. |
cot x |
B. |
cos x |
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C. |
sin x |
D. |
tan x |
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Hint |
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3. |
Complete the identity csc x (cos x - sec x) = ________. |
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A. |
-cot x |
B. |
cot x |
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C. |
-tan x |
D. |
tan x |
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Hint |
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4. |
Use the sum or difference identity for tangent to find the exact value of tan 255°. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
Solve sin2 x - sin x + 1 = cos2 x for 0 x < 2 . |
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A. |
0, , ,  |
B. |
0, , ,  |
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C. |
0, , ,  |
D. |
0, ,  |
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Hint |
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6. |
Consider the equation -x + 2y - 5 = 0. Find the length of the normal and the angle it makes with the positive x-axis. |
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A. |
; 243° |
B. |
; 63° |
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C. |
; 297° |
D. |
; 117° |
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Hint |
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7. |
The point nearest to the origin on a line is at (-4,4). Find the standard form of the equation of the line. |
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A. |
x + y - 8 = 0 |
B. |
x + y - 4 = 0 |
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C. |
x - y + 8 = 0 |
D. |
x + y + 8 = 0 |
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Hint |
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8. |
Complete the identity ______________. |
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A. |
-sin A |
B. |
cos A |
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C. |
sin A |
D. |
-cos A |
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Hint |
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9. |
Find the distance between P(5, -3) and the line with equation 5x + 12y = 18. |
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A. |
 |
B. |
 |
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C. |
13 |
D. |
 |
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Hint |
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10. |
Simplify the expression sin x + 4 cos x + 2 sin -x - 2 cos -x |
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A. |
2 cos x - sin x |
B. |
1 |
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C. |
0 |
D. |
3 sin x + 2 cos x |
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Hint |
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11. |
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. |
 |
D. |
 |
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Hint |
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12. |
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. |
 |
D. |
- |
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Hint |
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13. |
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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14. |
Find the distance between the lines given by the equations y = x - and 2x - 5y = 28. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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