04 - Trig Ratios of Any Angle

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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 °


2) cos
Find the exact value of each trigonometric function.
3) sin 
4) cos 
y
y
°
°
x
5) tan 
x
6) cos 
y
y
x

7) cos


9) cos


11) sin 


13) sin °
x





8) cos °
10) sin


12) tan °
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 °
-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 °
7) cos


°
°
5) tan 

y

8) cos °






12) tan °
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  


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Worksheet by Kuta Software LLC
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