| |
| |
1. |
Find one positive angle and one negative angle that are coterminal with 310°. |
| |
|
A. |
-120°, 400° |
B. |
-50°, 670° |
| |
|
C. |
50°, -670° |
D. |
100°, -670° |
| |
|
Hint |
|
| |
2. |
Determine the exact value of sin 150°. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
3. |
If is an angle in standard position whose terminal side lies in quadrant III and find the exact value of the tan . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Determine the solution of XYZ. Round measures of sides to the nearest tenth. |
| |
|
 |
| |
|
A. |
There is no solution. |
| |
|
B. |
Y = 58.1°, Z = 26.9°, z = 9.4 |
| |
|
C. |
Y = 26.9°, Z = 58.1°, z = 4.9 |
| |
|
D. |
Y = 26.9°, Z = 58.1°, z = 9.4 |
| |
|
Hint |
|
| |
5. |
Find the length of side a to the nearest tenth. |
| |
|
 |
| |
|
A. |
10.9 |
B. |
11.8 |
| |
|
C. |
8.7 |
D. |
6.1 |
| |
|
Hint |
|
| |
6. |
Find the exact value of sin 510°. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
7. |
If Cos- 1 , what is the value of y? |
| |
|
A. |
60° |
B. |
90° |
| |
|
C. |
30° |
D. |
45° |
| |
|
Hint |
|
| |
8. |
If tan A = 0.75, what is cos A? |
| |
|
A. |
4 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
9. |
Solve . |
| |
|
 |
| |
|
A. |
A = 17°, B = 73° |
| |
|
B. |
A = 16°, B = 164° |
| |
|
C. |
A = 16°, B = 74° |
| |
|
D. |
A = 5°, B = 85° |
| |
|
Hint |
|
| |
10. |
What is the radian measurement of 5°? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
11. |
In A = 65°, a =10, and b = 13. Find B. |
| |
|
A. |
no solution |
B. |
B = 19.0° |
| |
|
C. |
B = 71.0° |
D. |
B = 44.2° |
| |
|
Hint |
|
| |
12. |
What method should be used when we have one side and one angle opposite that side? |
| |
|
A. |
law of sines |
B. |
cannot be determined from given information |
| |
|
C. |
law of cosines, then law of sines |
D. |
law of cosines only |
| |
|
Hint |
|
| |
13. |
Find the exact value of . |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
2 |
D. |
 |
| |
|
Hint |
|
| |
14. |
Simplify [tan (Arc tan x)] × [(Arc sin (sin y)]. |
| |
|
A. |
x |
B. |
x2y2 |
| |
|
C. |
|
D. |
xy |
| |
|
Hint |
|
|
|