Chapter 13
1. Solve the triangle. Give angle measures to the nearest degree and side lengths to the
nearest tenth.
J
a. JK = ________
8
b. mJ = ________
c. mK = ________
L
12
K
2. Solve the triangle. Give angle measures to the nearest degree and side lengths to the
nearest tenth.
a. mM = ________
N
26˚
b. MN = ________
c. NO = _________
O
9.7
M
For each angle below find all coterminal angles such that -360˚ < θ < 360˚. Then find the
reference angle for the given angle.
3. 114˚
4. 512˚
5. -53˚
Given the point on the terminal side of  in standard position, find the exact value of the
trig functions listed.
6. P (-5, -12) find sin θ and cos θ
7. P (7, -2) find csc  and cot 
Convert each degree measure to a radian measure. Give each exact answers.
8. 20˚
9. 1080˚
Convert each radian measure to a degree measure. Round answers to the nearest tenth of
a degree, if necessary.
10.
2
radians
3
Evaluate each expression.
5
12. cos
6
 3
C os1 
 2  = _______ degrees


1
Sin 1   = _______ degrees
2
11. 
13. tan 
3
radians
4
3
4
14. csc

6
T an1 1 = ________radians
A circle has a diameter of 8 meters. For each central angle measure below, find the
length in meters of the arc intercepted by the angle.

15.
radians
16. 2.5 radians
12
Solve the triangles using the given information.
17. A = 65˚, C = 20˚, b = 9
18. B = 50˚, C = 32˚, a = 35
19. a = 13, b = 15, c = 9
20. b = 42, c = 30, A = 56˚
State the number of triangles determined by the given information. If 1 or 2 triangles are
formed, solve the triangle(s). Round the angle measures and side lengths to the nearest
tenth.
21. A = 117˚, b = 40, a = 28
22. B = 39˚, a = 4, b = 3