Download 9-Trigonometric Ratios

Kuta Software - Infinite Geometry
Text
Name___________________________________
Trigonometric Ratios
Date________________ Period____
Find the value of each trigonometric ratio.
1) tan Z
2) cos C
X
A
35
21
34
Z
30
Y
28
C
3) sin C
B
16
4) tan X
A
35
C
Z
40
28
X
B
21
5) cos A
32
Y
24
6) sin A
30
A
B
32
C
B
16
24
34
40
C
A
7) sin Z
8) sin C
Z
B
48
14
32
Y
40
24
A
X
9) cos Z
10) tan C
Z
24
Y
C
50
C
30
18
36
X
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B
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45
27
A
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Inverse Trigonometric Ratios
Date________________ Period____
Find each angle measure to the nearest degree.
1) sin B = 0.4848
2) sin A = 0.5150
3) cos A = 0.7431
4) cos W = 0.6157
5) cos A = 0.5878
6) tan W = 19.0811
7) cos A = 0.4226
8) tan W = 0.5317
Find the measure of the indicated angle to the nearest degree.
9)
10)
9
27
?
?
21
38
11)
12)
14
?
42
29
40
?
13)
14)
39
27
10
11
?
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Solving Right Triangles
Date________________ Period____
Find the missing side. Round to the nearest tenth.
1)
2)
x
6
72°
73°
6
x
3)
4)
x
x
24°
37°
12
12
5)
6)
x
14
49°
14
51°
x
7)
8)
x
16
15°
x
16
63°
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Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Name___________________________________
Multi-Step Trig. Problems
Date________________ Period____
Find the length of the side labeled x. Round intermediate values to the nearest tenth. Use the rounded
values to calculate the next value. Round your final answer to the nearest tenth.
1)
2)
61°
35°
x
9
60°
39°
x
38
Text
1. Use tan(39 degrees) = opp/38 to solve for the
height of the triangle.
2. Round to the nearest tenth
3. Sin(60 degrees) = your ans/x
OR Csc(60 degrees) = x/your answer
Answer to #1: x = 35.6. CHECK YOUR WORK
3)
4)
23
101°
Text
71°
x
12
50°
x
44°
Find the area of each triangle. Round intermediate values to the nearest tenth. Use the rounded values
to calculate the next value. Round your final answer to the nearest tenth.
5)
6)
70°
50°
65°
44°
46
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41
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Worksheet by Kuta Software LLC