Download Find the value of each trigonometric ratio 11) cos Z 13) tan C 15) tan

nite Geometry
Name___________________________________
Kuta Software - Infinite
Geometry
World 5-­‐1 Trigonometric Ratios Name___________________________________
Name: Ratios Trigonometric Ratios
Date________________ Period____
Date________________ Period____
A. Determine the ratio of sides B. Determine the ratio to 3 decimal places ach trigonometric
ratio.
the value of each trigonometric ratio to the nearest ten-thou
Find the value
of each trigonometric ratio.
value of each Find
Find the
trigonometric ratio to the nearest ten-thousandth.
2) cos C
1) tan Z
2)11)
coscos
C Z
12) cos C
11) cos Z
12) cos C
B
A
X
A
Y
Y
35
12
21
34
Z
9
34
30
Z
Y
28
C
12
15
B
16
A
A
35
X
A
50
C
14) tan A
50
Z
A
Z
14) tan A
A
C
20
21
30
40
40
29
C
C
30
B
A
C
45
B
16
13) tan C
32
28
36
27
4) tan X
40
40
36
30
15
C
13) tan C
4) tan X
3) sin C
9
Z
X
B
21
32
B
B
C
X
B
21
X
Y
24
Y
24
15) tan C
16) tan X
15) tan C
6) sin A
5) cos A
A
37
30
A
B
12
32
C
A
B
B
6
C
C 12
35
16
40
A
8) sin C
X
A
8)17)
C Z
Y sinsin
B
Z
40
12
48
14
32
18) sin Z
35
Z
B
37
50
35
Z
C
Y
30
48
12
A
50
X
X 14
A
Z
50
C
24
35
17) sin Z
7) sin Z
30
37
B
B 40
40
C
40
32
X
24
34
16) tan X
Y
6) sin A
50
37
Z
18) sin Z
X
40
Y
C
30
X
Y
24
19) sin 48°
10) tan C
21) cos 61°
9) cos Z
Y
20) sin 38°
19)tan
sinC48°
10)
C
Z
24
20) sin 38°
22) cos 51°
C
21) cos 61°
Critical
thinking questions:
45
30
18
Y
X
36
36
22) cos 51°
45
23) Can the sine of an angle ever equal 2?
1
24) sin x =
Critical
thinking
questions:
Why
or
why
not?
A
3
A
B
27
B
27
Find
cos
23) Can the sine of an angle ever equal 2?x.
X
Why or why not?
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Worksheet by Kuta Software LLC
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1
3
Find cos
24) sin x =
Worksheet by Kuta Software LLC
Kuta Software - Infinite Geometry
Kuta Software - Infinite Geometry
Name___________________________________
Name___________________________________
Inverse Trigonometric Ratios
Date________________ Period____
World 5-­‐1 Trigonometric Ratios Name: Inverse
Trigonometric
Ratios
Date________________ Period____
Find each angle measure to the nearest degree.
Find each angle measure to the nearest degree.
C. the angle to the nearest 10th of a degree 2) sin A = 0.5150
1)Determine sin B = 0.4848
1) sin B = 0.4848
2) sin A = 0.5150
3) cos A = 0.7431
3) cos A = 0.7431
4) cos W = 0.6157
4) cos W = 0.6157
5) cos A = 0.5878
5) cos A = 0.5878
6) tan W = 19.0811
6) tan W = 19.0811
7) cos A = 0.4226
8) tan W = 0.5317
7) cos A = 0.4226
8) tan W = 0.5317 Determine the missing side length and angles using only trig ratios Find the measure of the indicated angle to the nearest degree.
Find the measure of the indicated angle to the nearest degree.
9)
10)
9)
10)
9
27
?
?
27
?
?
38
9
21
21
38
11)
11)
12)
12)
14
?
14
42
29
?
40
42
29
40
?
?
13)
13)
39
10
?39
14)
14)
?
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11
?
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27
?27
10
-1-1-
11
Worksheet by Kuta Software LLC
Worksheet by Kuta Software LLC
World 5-­‐1 Trigonometric Ratios Name: 15)
15)
16)
16)
12
12
15)
?
16)
24
24
12
?
? 20
13
20
?
13
?
20
13
?
24
17)
17)
?
?17)
?
6
18)
8
6
18)
18)
8
8
5
5
5
6
?
?
4
4?
4
19)
19)
20)
20)
20)
14
19)
14
14
51
5151
?
??
48
?
21)
21)
21)
7
22)
7
?
?
24)
?
?
51
?
24)
8568
68
56
70
24)
?
? 42
51
85
30
30
68
23) 51
?
?
24
23)
23)
30
24
24 25
34
?34
16
16
25
25
22) 34
22) 16
? 7
68
68 68
85
8585
48
50
48
50 ? ? 50
56
85
Critical thinking questions:
?
56
70
42
25) Find an angle x where sin x = cos x.
Critical thinking questions:
Critical thinking questions:
25) Find an angle x where sin x = cos x.
25) Find an angle x where sin x = cos x.
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70
42
26) Draw and label all three sides of a right
triangle that has a 40° angle and a
hypotenuse of 10 cm.
26) Draw and label all three sides of a right
26) Draw and label all three sides of a right
triangle that has a 40° angle and a
triangle that has a 40° angle and a
hypotenuse of 10 cm.
hypotenuse of 10 cm.
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Worksheet by Kuta Software LLC