Download Directions: SHOW ALL WORK

Trigonometry Review
AFM
Name ____________________________
Date ________________
Directions: SHOW ALL WORK in the space provided. Indicate clearly the methods you use, because you will be
graded on the correctness of your methods as well as on the accuracy of your final answer. Place your answer in the box.
NO WORK = NO CREDIT!
Determine the quadrant in which the value lies.
1.
11
3
____________
2. 423°
____________
Convert the following. If the given angle is in radians, express your answer in radians. If the given angle is in
degrees, express your answer in degrees.
3.

6
5.
5
12
___________
____________
4. 125
___________
6. 260
____________
Evaluate. (Make sure to simplify your answer completely.)
7.
cos 330o
9.
sec 300
8.
sin 225o
10. tan

3
11. csc  210
 7
12. tan  
 6
13. cot 540°
14. sec 240
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
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Trigonometry Review
AFM
Name ____________________________
Date ________________
Applications: Show all work and diagrams to support your answer.
1. A 6-foot person walks from the base of a broadcasting tower directly toward the tip of the
shadow cast by the tower. When the person is 132 feet from the tower and 3 feet from the
trip of the tower’s shadow, the person’s shadow starts to appear beyond the tower’s
shadow.
a. Draw a right triangle to represent the problem. Show the known values and
unknown values.
b. Write an equation involving the unknown.
c. What is the height of the tower?
2. In triangle ABC, b = 6, c = 3, and sin B = 0.4. Find the value of sin C.
3. Use the diagram and situation below…
While sailing a boat offshore, Donna sees a lighthouse and calculates that the angle of elevation
to the top of the lighthouse is 3°, as shown in the accompanying diagram. When she sails her
boat 700 feet closer to the lighthouse, she finds that the angle of elevation is now 5°. How tall,
to the nearest tenth of a foot, is the lighthouse?
Trigonometry Review
Name ____________________________
AFM
Date ________________
4. A ship at sea heads directly toward a cliff on the shoreline. The accompanying diagram shows the top of
the cliff, D, sighted from two locations, A and B, separated by distance S. If m∠DAC = 30, m∠DBC =
45, and S = 30 feet, what is the height of the cliff, to the nearest foot?
5. Fill out the unit circle below with positive degrees, positive radians, and the coordinate points.