| |
| |
1. |
Solve  . Round measures of sides to the nearest tenth and measures of angles to the nearest degree. |
| |
|
 |
| |
|
A. |
E = 64°, d = 14.4, e = 12.9 |
| |
|
B. |
E = 64°, d = 11.7 e = 14.4 |
| |
|
C. |
E = 64°, d = 12.9, e = 14.4 |
| |
|
D. |
E = 64°, d = 12.9, e = 11.4 |
| |
|
Hint |
|
| |
2. |
Change  to degrees. |
| |
|
A. |
45° |
B. |
180° |
| |
|
C. |
135° |
D. |
90° |
| |
|
Hint |
|
| |
3. |
What is -240° expressed in radian measure? |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
4. |
Determine the exact value of sin 150°. |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
 |
D. |
 |
| |
|
Hint |
|
| |
5. |
Solve  ABC. Round measures of the sides to the nearest tenth. |
| |
|
 |
| |
|
A. |
B = 38.1°, C = 85.9°, c = 9.9 |
| |
|
B. |
B = 38.1°, C = 85.9°, c = 9.8 |
| |
|
C. |
B = 38.1°, C = 85.9°, c = 1.1 |
| |
|
D. |
B = 38.1°, C = 85.9°, c = 8.3 |
| |
|
Hint |
|
| |
6. |
Determine whether PQR has no solution, one solution, or two solutions. |
| |
|
 |
| |
|
A. |
There are two solutions because r > p > r sin P. |
| |
|
B. |
There is one solution because p > r sin p. |
| |
|
C. |
There is one solution because p < r sin P. |
| |
|
D. |
There is no solution because p = r sin P. |
| |
|
Hint |
|
| |
7. |
Solve ABC. Round the measure of angles to the nearest tenth. |
| |
|
 |
| |
|
A. |
A = 68.2°, B = 76.7°, C = 35.1° |
| |
|
B. |
A = 76.7°, B = 68.2°, C = 35.1° |
| |
|
C. |
A = 76.7°, B = 86.2°, C = 35.1° |
| |
|
D. |
A = 35.1°, B = 76.7°, C = 68.2° |
| |
|
Hint |
|
| |
8. |
Should the Law of Cosines or the Law of Sines be used to solve ABC? Explain. |
| |
|
 |
| |
|
A. |
Law of Sines because you know the measure of two sides and the angle opposite one of the sides. |
| |
|
B. |
Law of Sines because you know the measure of a side and two angles. |
| |
|
C. |
Law of Cosines because you know the measure of three sides. |
| |
|
D. |
Law of Cosines because you know the measure of two sides and the included angle. |
| |
|
Hint |
|
| |
9. |
Find sin  |
| |
|
A. |
 |
B. |
 |
| |
|
C. |
|
D. |
|
| |
|
Hint |
|
| |
10. |
Determine tan  . |
| |
|
A. |
0.7203 |
B. |
0.6508 |
| |
|
C. |
0.8571 |
D. |
1.6641 |
| |
|
Hint |
|
| |
11. |
A long ramp that leads to a building entrance is 45 feet. The stairs to the entrance have a vertical height of 6 feet. What is the angle of incline of the ramp? |
| |
|
A. |
about 18° |
B. |
about 8° |
| |
|
C. |
about 10° |
D. |
about 4° |
| |
|
Hint |
|
| |
12. |
For which trigonometric functions is an angle that measures 180° undefined? |
| |
|
A. |
csc and sec |
B. |
csc and cot |
| |
|
C. |
tan and cot |
D. |
sec and tan |
| |
|
Hint |
|
| |
13. |
What is the period of the function represented by the graph? |
| |
|
 |
| |
|
A. |
10 |
B. |
25 |
| |
|
C. |
50 |
D. |
150 |
| |
|
Hint |
|
| |
14. |
What is the exact value of sin 870°? |
| |
|
A. |
 |
B. |
|
| |
|
C. |
 |
D. |
|
| |
|
Hint |
|
|
|