| |
| |
1. |
Select the graph of . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
2. |
Which is the graph of y = cos 3 ? |
| |
|
A. |
 |
| |
|
B. |
 |
| |
|
C. |
 |
| |
|
D. |
 |
| |
|
Hint |
|
| |
3. |
Simplify the expression sin x(1 + cot2x) |
| |
|
A. |
1 + cos2x |
B. |
csc x |
| |
|
C. |
sin x tan x |
D. |
sin2x |
| |
|
Hint |
|
| |
4. |
Rewrite (sin2 x + cos2 x) ÷ tan x as an expression involving only cot x. |
| |
|
A. |
cot x |
B. |
2 cot x |
| |
|
C. |
cot2x |
D. |
1 cot x |
| |
|
Hint |
|
| |
5. |
What is the exact value of cos 2x if cos x = and x is in quadrant II? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
6. |
Which expression is equivalent to (sin x + cos x)2. |
| |
|
A. |
2 csc 2x |
B. |
 |
| |
|
C. |
1 + sin 2x |
D. |
cos2x + 1 |
| |
|
Hint |
|
| |
7. |
A runner's pace oscillates during a race between 9 mph and 13 mph. For a one-hour race, this person's pace oscillates 20 times. What is a sine function that represents this situation? |
| |
|
A. |
y = 4 sin + 9 |
B. |
y = 2 sin + 11 |
| |
|
C. |
y = 2 sin + 9 |
D. |
y = 4 sin + 11 |
| |
|
Hint |
|
| |
8. |
Which of the following is an example of a function with a phase shift? |
| |
|
A. |
y = 2 sin ( 15) |
B. |
y = 1 + 3 cos  |
| |
|
C. |
y = 3 + cos  |
D. |
y = 5 sin  |
| |
|
Hint |
|
| |
9. |
Find sec if sin = and 180° < < 270°. |
| |
|
A. |
2 |
B. |
2 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
10. |
Which of the following statements is not true? |
| |
|
A. |
sec + cos = sin tan  |
| |
|
B. |
cot tan  |
| |
|
C. |
sec tan = |
| |
|
D. |
csc sin = cot cos  |
| |
|
Hint |
|
| |
11. |
Find the exact value of sin (75°). |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
12. |
Which statement is false? |
| |
|
A. |
cos 405° = sin 225° |
| |
|
B. |
sin 30° = cos 120° |
| |
|
C. |
sin 450° = cos 180° |
| |
|
D. |
cos 210° = sin 240° |
| |
|
Hint |
|
| |
13. |
Solve cos = 3 cos 1. |
| |
|
A. |
30°, 150° |
B. |
60°, 300° |
| |
|
C. |
60°, 120° |
D. |
30°, 330° |
| |
|
Hint |
|
| |
14. |
Solve 5 cos 2 + 4 cos 12 = 0. |
| |
|
A. |
34°, 146°, 214°, 326° |
B. |
146°, 214° |
| |
|
C. |
34°, 326° |
D. |
no solution |
| |
|
Hint |
|
|
|