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9 Trigonometric Ratios

This document contains a worksheet with trigonometric ratio problems. There are 24 problems that require calculating trig ratios like sine, cosine, and tangent using angle and side information provided in diagrams. It also includes one critical thinking question about whether the sine of an angle can equal 2. The document provides the work and solutions to all problems.

Uploaded by

Ahmed Nurul
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
1K views4 pages

9 Trigonometric Ratios

This document contains a worksheet with trigonometric ratio problems. There are 24 problems that require calculating trig ratios like sine, cosine, and tangent using angle and side information provided in diagrams. It also includes one critical thinking question about whether the sine of an angle can equal 2. The document provides the work and solutions to all problems.

Uploaded by

Ahmed Nurul
Copyright
© © All Rights Reserved
We take content rights seriously. If you suspect this is your content, claim it here.
Available Formats
Download as PDF, TXT or read online on Scribd
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Kuta Software - Infinite Geometry

Name___________________________________

Trigonometric Ratios

Date________________ Period____

Find the value of each trigonometric ratio.


1) tan Z

2) cos C
X

35
21
34

30

28

3) sin C

16

4) tan X
A

35

40

28

21

5) cos A

32

24

6) sin A
30

32

16

24

34

40

C
A

7) sin Z

8) sin C

B
48

14
32

40

24

9) cos Z

10) tan C

24

50

30

18

36

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-1-

45

27

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

B
36

15

13) tan C

45

29

14) tan A
50

27

30

40

20

21

15) tan C

16) tan X
Y

A
37

40

12

35

C
X

17) sin Z
Z

30

50

18) sin Z
35

50

12
37

30

40

19) sin 48

20) sin 38

21) cos 61

22) cos 51

Critical thinking questions:


23) Can the sine of an angle ever equal 2?
Why or why not?

B t2O0k1E2B 4KXumtaau nSKoKf3t0wbamrYeE aLeLNCK.Z Q 5AplclF 1rxilgUhotdsT orYe8sWe1rFvUePdl.u w CMlaAdUem Ewci2trhS PIznsf2iAnQijtMeL LGdeaokmfe9t3rhyp.d

1
3
Find cos x.

24) sin x =

-2-

Worksheet by Kuta Software LLC

Kuta Software - Infinite Geometry

Name___________________________________

Trigonometric Ratios
Find the value of each trigonometric ratio.
3
1) tan Z
4

Date________________ Period____

8
17

2) cos C

35
21
34

30

28

4
5

3) sin C

16

4
3

4) tan X

35

40

28

21

15
17

5) cos A
30

32

24

4
5

6) sin A

32

16

24

34

40

C
A

3
5

7) sin Z

7
25

8) sin C

B
48

14
32

40

24

4
5

9) cos Z

3
4

10) tan C

24

50

30

18

36

7 z290a1U23 vKCujteay fSKo2frthwFazrIeK 0LOLBCV.9 z HAYlilK erii1gxh9tfsW YrjezsweHrxvPecd6.r C OMqasdLel nwhiVtahT xInnaf0iNnCiytvet FGAeYoBmZe9tFroy4.M

-1-

45

27

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

B
36

15

0.8000

45

29

0.6000

13) tan C

14) tan A
50

27

30

40

20

21

1.3333

1.0500

15) tan C

16) tan X
Y

A
37

40

12

35

C
X

0.3429

50

0.7500

17) sin Z
Z

30

18) sin Z
35

50

12
37

30

40

0.3243

0.6000

19) sin 48
0.7431

20) sin 38
0.6157

21) cos 61
0.4848

22) cos 51
0.6293

Critical thinking questions:


23) Can the sine of an angle ever equal 2?
Why or why not?

1
3
Find cos x.

24) sin x =

No, the hypotenuse > opposite side.

2 2
3
Create your own worksheets like this one with Infinite Geometry. Free trial available at KutaSoftware.com

Y l240L1i26 SKTujtkaO 4Sdo3f7towsaSrmem hLeLaCS.a B LAAl0lL drni5gZhTtpsc Trveys1eHrOvTefdd.U 2 5MfaPdzer hwkiAtIhy VImnffZiTnfirtCes dGjeioUmAeotkrMy8.1

-2-

Worksheet by Kuta Software LLC

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