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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