Download Algebra 2 - Trig. Part 2 re

Algebra 2
Name___________________________________
Trig. Part 2 re-test
Date________________ Period____
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Use the Law of Sines to find each measurement indicated. Round your answers to the nearest tenth.
1) Find m∠C
2) Find AC
C
B
A
14° 16°
32
37
C
100°
B
A
27
Use the Law of Cosines and the Law of Sines to solve for all missing sides and angles in each triangle.
Round your answers to the nearest whole number.
3)
4)
28
A
105°
B
C
30
18
18
B
A
C
17
Find each measurement indicated IF a triangle possible. Remember there might be more than one answer
if there are two possible triangles! Round your answers to the nearest tenth.
5) m∠B = 26°, a = 11, b = 7
Find m∠A
6) m∠A = 90°, c = 20, a = 20
Find b
Find the exact value of each trigonometric function.
7) tan θ
8) cos θ
y
y
150°
x
x
300°
9) sin 225°
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10) cos 270°
-1-
Worksheet by Kuta Software LLC
Using degrees, find the amplitude and period of each function. Then graph.
11) y = 2cos 4θ
12) y = 3sin 2θ
13) y = 3sin 4θ + 1
Find the amplitude, midline, and period of each function (use degrees).
14) y = 10sin
θ
+3
4
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Worksheet by Kuta Software LLC
Algebra 2
Name___________________________________
Trig. Part 2 re-test
Date________________ Period____
©R 0210V1W30 2KruMttav dS9o4f1tJwZaSrGej QLyLQC3.O R 5ADlCl7 erfijgMhmtXsw nr8e9soesrevmeOdB.4
Use the Law of Sines to find each measurement indicated. Round your answers to the nearest tenth.
1) Find m∠C
2) Find AC
C
B
32
37
A
14° 16°
28.1
C
45.9°
100°
B
A
27
Use the Law of Cosines and the Law of Sines to solve for all missing sides and angles in each triangle.
Round your answers to the nearest whole number.
3)
4)
28
A
B
C
28°
105°
30
30°
18
47°
18
37
B
A
118° 32°
17
C
Find each measurement indicated IF a triangle possible. Remember there might be more than one answer
if there are two possible triangles! Round your answers to the nearest tenth.
5) m∠B = 26°, a = 11, b = 7
Find m∠A
6) m∠A = 90°, c = 20, a = 20
Find b
43.5° or 136.5°
Not a triangle
Find the exact value of each trigonometric function.
3
7) tan θ
−
8) cos θ
y
3
1
2
y
150°
x
x
300°
9) sin 225° −
2
2
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10) cos 270°
0
-1-
Worksheet by Kuta Software LLC
Using degrees, find the amplitude and period of each function. Then graph.
11) y = 2cos 4θ
12) y = 3sin 2θ
Amplitude: 2
Period: 90°
6
4
4
2
2
90°
180°
270°
Amplitude: 3
Period: 180°
6
360°
90°
−2
−2
−4
−4
−6
−6
180°
270°
360°
13) y = 3sin 4θ + 1
Amplitude: 3
Period: 90°
6
4
2
90°
180°
270°
360°
−2
−4
−6
Find the amplitude, midline, and period of each function (use degrees).
14) y = 10sin
θ
+3
4
Amplitude: 10
Period: 1440°
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Worksheet by Kuta Software LLC