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1. |
Simplify cos x tan x. |
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A. |
sin x |
B. |
cos x |
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C. |
csc x |
D. |
1 |
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Hint |
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2. |
Complete the identity  _______. |
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A. |
tan x |
B. |
cos x |
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C. |
sin x |
D. |
cot x |
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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. |
sin x |
D. |
cot 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. |
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D. |
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Hint |
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5. |
Solve sin x cos x -  cos x = 0 for principal values of x. Express solutions in degrees. |
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A. |
150°, 90° |
B. |
60°, 90° |
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C. |
30°, 60° |
D. |
30°, 90° |
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Hint |
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6. |
Which of the following is a valid trigonometric identity. |
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A. |
tan2  + cot2 = sin cos |
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B. |
tan + cot = sec csc |
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C. |
tan + cot = sin cos |
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D. |
Tan2 + cot2 = sec csc |
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Hint |
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7. |
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. |
 |
B. |
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C. |
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D. |
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Hint |
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8. |
If sin =  , find cos 2. |
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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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9. |
Use a half-angle identity to find the exact value of tan  . |
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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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10. |
Solve 4 sin2 x > 3 for 0  x  . |
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A. |
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B. |
0 x |
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C. |
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D. |
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Hint |
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11. |
Write the standard form of the equation of a line for which the length of the normal segment to the origin is 19 and the normal makes an angle of 150° with the positive x-axis. |
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A. |
 x - y + 38 = 0 |
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B. |
x - y + 19 = 0 |
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C. |
x + y - 19 = 0 |
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D. |
x + y - 38 = 0 |
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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. |
2 |
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C. |
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D. |
24 |
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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. |
 |
B. |
 |
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C. |
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D. |
5 |
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Hint |
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14. |
Find the distance from the origin to the graph of 2x + y = 15. |
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A. |
undefined (cannot divide by zero) |
B. |
 |
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C. |
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D. |
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Hint |
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