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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. |
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B. |
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C. |
2 |
D. |
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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. |
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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 cos 2. |
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A. |
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B. |
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C. |
1 |
D. |
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Hint |
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6. |
Solve 2 cos + 1 < 0 for 0  < 2 . |
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A. |
< < 2 |
B. |
 < <  |
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C. |
 < <  |
D. |
0 < or
< < 2 |
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Hint |
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7. |
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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8. |
Complete the identity  = _______. |
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A. |
-cos x |
B. |
tan x |
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C. |
sin x |
D. |
sec x |
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Hint |
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9. |
If angles x and y are between 0° and 180° such that cos x = - and cos y =  , what is the value of sin (x + 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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10. |
If sin  =  , find cos 2. |
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A. |
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B. |
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C. |
- |
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. |
The point nearest to the origin on a line is (9, 3). Find the standard form of the equation of the line. |
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A. |
x - 3y = 0 |
B. |
3x + y - 30 = 0 |
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C. |
x + 3y - 18 = 0 |
D. |
3x - y - 24 = 0 |
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Hint |
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13. |
 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. |
5 |
B. |
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C. |
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D. |
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Hint |
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14. |
PQR has vertices P(5, 8), Q(9, 5), and R(2, 4). Find the equation in standard form of the line that bisects  P. |
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A. |
7x + y = 43 |
B. |
3x + 4y = 47 |
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C. |
4x + 3y = -4 |
D. |
x - 7y = -67 |
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Hint |
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