Trigonometric Ratios Date Period - Kuta Software
Kuta Software - Infinite Geometry
Trigonometric Ratios
Find the value of each trigonometric ratio.
1) tan Z
X
35 21
Z
28
Y
3) sin C
A
35 28
C 21 B
5) cos A
A
30
B
16 34
C
7) sin Z
Z
40 32
Y 24 X
9) cos Z
Z
30 24
Y 18 X
Name___________________________________ Date________________ Period____
2) cos C
A
34
30
C 16 B
4) tan X
Z
40 32
X 24 Y
6) sin A
C
32
B
24 40
A
8) sin C
B
48 14
A
50
C
10) tan C
C
45 36
B 27 A
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-1-
Worksheet by Kuta Software LLC
Find the value of each trigonometric ratio to the nearest ten-thousandth.
11) cos Z
12) cos C
Y
12
9
B
36
27
Z
15
X
A
45
C
13) tan C
A
50
C
40
30
B
15) tan C
A
37 12
B
35
C
14) tan A
C
29
A
21
20
B
16) tan X
Y
40
30
X
50
Z
17) sin Z
Z
35
Y
12 37
X
18) sin Z
X
50
Z
30
40
Y
19) sin 48?
21) cos 61?
Critical thinking questions: 23) Can the sine of an angle ever equal 2?
Why or why not?
20) sin 38? 22) cos 51?
1 24) sin x =
3 Find cos x.
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-2-
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Trigonometric Ratios
Find the value of each trigonometric ratio. 3
1) tan Z 4
X
35 21
Z
28
Y
3) sin C
4 5
A
35 28
C 21 B
5) cos A
30
A
34
15 17
B
16
C
3 7) sin Z
5
Z
40 32
Y 24 X
4 9) cos Z
5
Z
30 24
Y 18 X
Name___________________________________ Date________________ Period____
8 2) cos C
17
A
34
30
C 16 B
4) tan X
4 3
Z
40 32
X 24 Y
6) sin A
C
32
40
4 5
B
24
A
8) sin C
B
48 14
A
50
7 25
C
3 10) tan C
4
C
45 36
B 27 A
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-1-
Worksheet by Kuta Software LLC
Find the value of each trigonometric ratio to the nearest ten-thousandth.
11) cos Z
12) cos C
Y
12
9
B
36
27
Z
15
X
0.8000
A
45
C
0.6000
13) tan C
A
50
C
40
1.3333
30
B
15) tan C
A
37 12
B
35
C
0.3429
14) tan A
C
29
A
21
20
B
1.0500
16) tan X
Y
40
30
X
50
Z
0.7500
17) sin Z
Z
35
Y
12 37
X
0.3243
18) sin Z
X
50
Z
30
40
Y
0.6000
19) sin 48? 0.7431
21) cos 61? 0.4848
Critical thinking questions:
23) Can the sine of an angle ever equal 2? Why or why not?
No, the hypotenuse > opposite side.
20) sin 38? 0.6157
22) cos 51? 0.6293
1 24) sin x =
3 Find cos x. 22
3
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Worksheet by Kuta Software LLC
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