Trig Ratios of Any Angle Date Period

Kuta Software - Infinite Precalculus

Name___________________________________

Trig Ratios of Any Angle

Date________________ Period____

Use a calculator to find each. Round your answers to the nearest ten-thousandth.

1) sec ????¡ã

???

??

2) cos

Find the exact value of each trigonometric function.

3) sin ?

4) cos ?

y

y

???¡ã

???¡ã

x

5) tan ?

x

6) cos ?

y

y

x

?

7) cos

???

?

9) cos

??

?

11) sin ?

??

?

13) sin ????¡ã

x

??

?

?

???

?

8) cos ????¡ã

10) sin

???

?

12) tan ????¡ã

14) cos

??

?

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Worksheet by Kuta Software LLC

Use the given point on the terminal side of angle ? to find the value of the trigonometric function

indicated.

15) sin ?

16) cot ?

y

(

y

??, ?)

x

x

(??, ???)

17) sec ?

18) sin ?

y

(?

y

??, ?)

x

x

(?, ?

?? )

Find the exact values of the five trigonometric ratios not given.

19) cot ? ???? ? and sin ? ????

21) sin ? ????

23) csc ? ???

? ?

and cos ? ????

?

? ?

and cos ? ????

?

20) cos ? ???

??

and sin ? ????

??

22) tan ? ????? and cos ? ????

24) sec ? ???? and sin ? ????

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Worksheet by Kuta Software LLC

Kuta Software - Infinite Precalculus

Name___________________________________

Trig Ratios of Any Angle

Date________________ Period____

Use a calculator to find each. Round your answers to the nearest ten-thousandth.

1) sec ????¡ã

-1.0353

???

??

-0.9659

2) cos

Find the exact value of each trigonometric function.

?

4) cos ?

3) sin ?

y

?

x

x

6) cos ?

y

y

x

?

x

??

?

?

???

?

??

???

?

?

?

??

9) cos

?

?

?

??

11) sin ?

?

?

?

?

13) sin ????¡ã

7) cos

?

?

???¡ã

???¡ã

5) tan ?

?

y

?

8) cos ????¡ã

?

???

?

?

?

?

12) tan ????¡ã

10) sin

??

14) cos

?

?

??

?

?

?

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Worksheet by Kuta Software LLC

Use the given point on the terminal side of angle ? to find the value of the trigonometric function

indicated.

?

??

15) sin ?

16)

cot

?

?

y

y

?

??

(

??, ?)

x

x

(??, ???)

17) sec ?

?

y

(?

? ??

??

18) sin ?

?

y

??

?

??, ?)

x

x

(?, ?

?? )

Find the exact values of the five trigonometric ratios not given.

19) cot ? ???? ? and sin ? ????

20) cos ? ???

??

?

, tan ? ????

?

?

? ??

csc ? ???? ?, sec ? ????

?

sin ? ???

?

, cos ? ????

?

21) sin ? ????

?

?

, tan ? ????

??

??

??

??

??

csc ? ???? , sec ? ??? , cot ? ????

?

??

?

sin ? ????

22) tan ? ????? and cos ? ????

? ?

and cos ? ????

?

? ??

??

, cos ? ???

??

??

??

?

csc ? ????

, sec ? ??? ??, cot ? ????

?

?

sin ? ????

?

, tan ? ?????

?

?

?

csc ? ????

, sec ? ??? ?, cot ? ????

?

?

cos ? ???

23) csc ? ???

24) sec ? ???? and sin ? ????

? ?

and cos ? ????

?

?

?

, cos ? ????

, tan ? ????

?

?

? ?

??

sec ? ????

, cot ? ????

?

?

sin ? ???

??

and sin ? ????

??

?

?

, cos ? ??? , tan ? ???? ?

?

?

? ?

?

csc ? ????

, cot ? ????

?

?

sin ? ????

??

?

Create your own worksheets like this one with Infinite Precalculus. Free trial available at

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Worksheet by Kuta Software LLC

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