Download Chapter 13 Review Packet KEY

Algebra 2 Trig
CHAPTER 13 REVIEW PACKET
Section 13.1 - Calculator
Find the values of the 6 trig. functions for angle θ.
1.
8
7
θ
Find x. Round to the nearest hundredth.
2.
5.
3.
4.
A pilgrim is standing on a cliff looking out at the ocean. She spots the Santa Maria near the
horizon at an angle of depression of 15 degrees. If the cliff she is standing on is 250 feet
tall, how far from the shore is the boat?
Section 13.2 – Calculator
Draw an angle with the given measure. Find the reference angle.
6.
-305°
7.
3π
4
8.
10π
3
Rewrite each degree measure in radians and each radian measure in degrees.
3π
9.
6°
10.
-250°
11.
−
8
Find one positive and one negative angle that is co-terminal with the given angle.
5π
12.
80°
13.
6
Section 13.3 – NO Calculator
Find the exact value of the each trigonometric function.
14.
sin 150°
15.
tan 300°
16.
cot (-90°)
17.
cos 225°
19.
sec (-225°)
20.
sin
23.
cot π
π
3
18.
csc 180°
21.
cos
5π
6
22.
sec
2π
3
24.
tan
5π
3
25.
csc
−π
4
Section 13.6 – NO Calculator
The given point P is located on the unit circle. Find sin θ and cos θ .
 40 9 
 14 48 
26. P  − , 
27. P  − , 
 41 41 
 50 50 
Determine the period of each function.
28. period = _______
2
4
8
6
10
12
29. period = _______
2
4
8
6
10
12
Find the exact value of each function.
31. sin 480°
30. cos 5π
32. tan
Section 13.7 – NO Calculator
Find the value. Write angle measures in degrees.
1
34.
Sin −1
35.
Arc tan 3
2
37.
Cos −1
− 3
2
38.
Csc −1
2 3
3
9π
4
33. sin (-390°)
− 2
2
36.
Arc sin
39.
Arc sin( −1)
Find the value. Write angle measures in radians.
− 2
41.
40.
Cos −1
Arc tan 0
2
43.
1

sin  Sin −1 − 
2

44.

3
tan  Arc cos

2 

Arc sin
45.
4

sin Tan −1 
3

Section 13.4 & 13.5 – Calculator
Solve the triangle. Find all missing sides and angles. Round sides to the
hundredth and angles to the nearest degree.
46.
In ∆EFG, m∠F = 32°, e = 12, and g = 4.
47.
In ∆WXY, m∠W = 121°, m∠Y = 22°, and w = 10.
48.
In ∆CAT, c = 3, a = 6, and t = 9.
− 3
2
42.
49. In ∆PIG, m∠P = 47°, i = 34 and G = 28°.
50. In ∆BAT, m∠B = 37°, a = 20 and b = 28.
51. In ∆ELK, m∠E = 37°, k = 20 and e = 28.
52.
In ∆DOG, m∠D = 33°, d = 6, and o = 10.
Find the Area of the triangle. Round to the nearest hundredth.
53.
In ∆EFG, e = 7, f = 9, and g = 5.
54.
In ∆DEF, m∠D = 62°, e = 10, and f = 20.