Algebra 2 CP
Name______________________
Assignment: E5
13.1 – 13.3 Quiz Review
Find the values of the six trigonometric functions for angle θ.
1.
θ
2.
6
3. 2
5
a
θ
θ
13
8
3
Write an equation involving sin, cos, or tan that can be used to find x, then solve the equation.
If no exact answer can be found, round measures of sides to the nearest tenth.
4.
5.
8
30°
6.
x
5
x
60°
x
10
7.
60°
5
x
22°
Solve ΔABC by using the given measurements. Round measures of sides to the
nearest tenth and measures of angles to the nearest degree.
A
8. A = 72°, c = 10
9. B = 20°, b = 15
c
b
C
10. A = 80°, a = 9
11. A = 58°, b = 12
a
B
Draw an angle with the given measure in standard position.
12. 185°
y
O
15. 495°
x
y
O
y
13. 810°
O
14. 390°
x
y
16. -50°
x
O
x
O
17. -420°
x
y
y
x
O
Rewrite each degree measure in radians and each radian measure in degrees.
18. 130°
19. 720°
20. 210°
21. 90°
22. -30°
23. -270°
24.
27.

3
5
4
25.
5
6
28. 
3
4
26.
2
3
29. 
7
6
Find one angle with positive measure and one angle with negative measure coterminal with
each angle.
30. 45°
34.
5
2
31. 60°
35.

6
32. 370°
36. 
33. -90°
3
4
Find the exact values of the six trigonometric functions of θ if the terminal side of θ in
standard position contains the given point.
37. (5, 12)
38. (3, 4)
39. (8, -15)
40. (-4, 3)
41. (-9, -40)
42. (1, 2)
Sketch each angle. Then find its reference angle.
y
y
43. 135°
44. 200°
O
x
O
45.
x
Find the exact value of each trigonometric function.
46. sin 150°
47. cos 270°
48. cot 135°
50. tan

4
51. cos
4
3
52. cot (-π)
5 y
3
O
49. tan (-30°)
 3 
53. sin  

 4 
Suppose θ is an angle in standard position whose terminal side is in the given quadrant. For
each function, find the exact values of the remaining five trigonometric functions of θ.
4
12
54. sin θ = , Quadrant II
55. tan θ =  , Quadrant IV
5
5
x
Answers.
4
5
4
tan θ =
3
5
sec θ =
3
3
5
5
csc θ =
4
1. sin θ =
5
13
5
tan θ =
12
13
sec θ =
12
cos θ =
cot θ =
2. sin θ =
3
4
12
13
13
csc θ =
5
12
cot θ =
5
4. tan 30° =
8
x = 8 3 ≈ 13.9
x
5. cos 60° =
7. sin 60° =
x
5 3
x=
≈ 4.3
2
5
8. a ≈ 9.5, b ≈ 3.1, B = 18°
10. b ≈1.6, c ≈ 9.1, B = 10°
12. 185°
13. 810°
x
y
17. -420°
3
2
x
10
cos θ =
x ≈ 4.0
9. a ≈ 41.2, c ≈ 43.9, A = 70°
x
x
18.
15. 495°
13
18
x
O
y
x
O
y
16. -50°
O
6. tan 22° =
14. 390°
O
y
23. 
5
x ≈ 10
x
2 13
13
13
csc θ =
3
2
cot θ =
3
3. sin θ =
11. a ≈ 19.2, c ≈ 22.6, B = 32°
y
O
3 13
13
3
tan θ =
2
13
sec θ =
2
cos θ =
21.
19.
4

y
20.
7
6
22. 
2
x
O

6
24. 60°
25. 150°
26. 120°
27. 225°
28. -135°
29. -210°
30. 405°, -315°
31. 420°, -300°
32. 10°, -350°
33. 270°, -450°
34.
37. sin θ =
12
5
cos θ =
13
13
12
13
csc θ =
5
12
13
5
sec θ =
cot θ =
5
12
tan θ =

2
,
3
2
13 11
,
6
6
4
3
38. sin θ =
cos θ =
5
5
35.
4
csc θ =
3
5
sec θ =
cot θ =
3
tan θ =
5
4
3
4
36.
5 11
,
4
4
39. sin θ = 
15
8
cos θ =
17
17
15
8
17
sec θ =
8
tan θ = 
17
15
8
cot θ = 
15
csc θ = 
3
5
cos θ = 
tan θ = 
5
3
csc θ =
3
4
40. sin θ =
sec θ = 
4
5
tan θ =
5
4
cot θ = 
4
3
csc θ = 
41
40
x
O
1
2
47. 0
2
2
tan θ = 2
41
9
cot θ =
9
40
44. 20°
sec θ =
45.
49. 
48. -1
54. cos θ = 
3
5
tan θ = 
4
3
sec θ = 
3
3
50. 1
5
4
5
3
cot θ = 
3
4
5
cot θ =
3
x
O
51. 
1
2
52. undefined
55. sin θ = 
csc θ =
csc θ =
y

x
O
2 5
5
cos θ =
5
5
42. sin θ =
y
43. 45°
53. 
40
9
sec θ = 
y
46.
40
9
cos θ = 
41
41
41. sin θ = 
5
12
cos θ =
13
13
csc θ = 
sec θ =
13
12
13
5
cot θ = 
5
12
5
2
1
2