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1. |
Simplify cos x + cos x tan2 x. |
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A. |
sec x |
B. |
tan x |
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C. |
1 + tan x |
D. |
csc x |
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Hint |
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2. |
If csc = 2, find sin . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
2 |
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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. |
tan x |
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C. |
cot x |
D. |
-tan x |
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Hint |
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4. |
Use the sum or difference identity for sine to find the exact value of sin 375°. |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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Hint |
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5. |
If sin = and has its terminal side in the first quadrant, find the exact value of cos 2 . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
1 |
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Hint |
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6. |
Solve the equation cos 2x = sin x for 0° x < 360°. |
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A. |
30°, 90°, 150° |
B. |
90°, 150°, 270° |
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C. |
30°, 150°, 270° |
D. |
30°, 210°, 270° |
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Hint |
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7. |
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. |
; 63° |
B. |
; 117° |
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C. |
; 297° |
D. |
; 243° |
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Hint |
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8. |
Find the distance between P(5, -3) and the line with equation 5x + 12y = 18. |
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A. |
 |
B. |
13 |
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C. |
 |
D. |
 |
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Hint |
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9. |
Complete the identity sin4 x - cos4 x = __________. |
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A. |
0 |
B. |
1 |
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C. |
sin2 x - cos2 x |
D. |
tan4 x |
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Hint |
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10. |
Use the sum or difference identity for cosine to find the exact value of cos 105° |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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. |
 |
B. |
 |
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C. |
2 |
D. |
 |
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Hint |
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12. |
Solve for 0 x < 2 . |
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A. |
 |
B. |
 |
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C. |
 |
D. |
 |
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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. |
126° |
B. |
54° |
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C. |
144° |
D. |
36° |
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Hint |
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14. |
What is the distance between the lines given by the equations 5x - 2y = 14 and y = x - 9? |
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A. |
 |
B. |
 |
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C. |
0 |
D. |
 |
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Hint |
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