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1. |
Determine the exact value of cos , given sin and 0° < < 90° |
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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. |
Which identity is not a Pythagorean identity? |
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A. |
tan2 + 1 = sec2 |
B. |
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C. |
1 + cot2 = csc2 |
D. |
sin2 + cos2 = 1 |
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Hint |
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3. |
Complete the identity of  _________. |
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A. |
cos x |
B. |
tan x |
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C. |
cot x |
D. |
sin 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. |
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B. |
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C. |
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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 sin 2. |
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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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6. |
Find sin 2 if sin =  and 0° < < 90°. |
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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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7. |
Solve the equation cos 2x = sin x for 0° x < 360°. |
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A. |
30°, 150°, 270° |
B. |
30°, 90°, 150° |
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C. |
30°, 210°, 270° |
D. |
90°, 150°, 270° |
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Hint |
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8. |
Solve 2 cos + 1 < 0 for 0 < 2 . |
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A. |
0 <  or
 < < 2 |
B. |
 < <  |
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C. |
< < |
D. |
< < 2 |
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Hint |
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9. |
Write the standard form of a line for which the length of the normal segment to the origin is 7 and the normal makes an angle of 120° with the positive x-axis. |
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A. |
 x + y + 14 = 0 |
B. |
x - y + 14 = 0 |
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C. |
x - y - 14 = 0 |
D. |
x + y + 14 = 0 |
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Hint |
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10. |
Complete the identity  ______________. |
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A. |
-sin A |
B. |
cos A |
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C. |
-cos A |
D. |
sin A |
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Hint |
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11. |
Find the distance between P(5, -3) and the line with equation
5x + 12y = 18. |
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A. |
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B. |
13 |
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C. |
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D. |
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Hint |
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12. |
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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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. |
126° |
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C. |
36° |
D. |
54° |
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Hint |
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14. |
 PQR has vertices P(5, 8), Q(9, 5), and R(3, 2). Find the length of the altitude of PQR through point P (PQR Is not a right triangle, so there is only one altitude through P). |
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A. |
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B. |
5 |
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C. |
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D. |
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Hint |
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