Name___________________________________
Multiple-Angle Identities
Date________________ Period____
Use the half-angle identities to find the exact value of each.
1) sin °
2) sin °
3) tan °
4) cos °
5) cos °
6) cos °
Find the exact value of each.

where  

Find tan 
7) tan  
9) tan  
Find cos

where  

8) cos  
 
where  

Find sin 

where  

Find cos 
10) tan  



11) cos   where  

Find cos 

12) tan   where  

Find tan


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Worksheet by Kuta Software LLC
Verify each identity.
13)
15)
16)
sin x
sin x
cos x
sin xcos x

csc x
sin xcos x
tan x
cos x
tan  xsin x
sin x
cot x(cos x)

14)
tan  x
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Worksheet by Kuta Software LLC
Name___________________________________
Multiple-Angle Identities
Date________________ Period____
Use the half-angle identities to find the exact value of each.
1) sin °

2) sin °
 

3) tan °
4) cos °
 
5) cos °

 


 


6) cos °
 

 

Find the exact value of each.

where  

Find tan 
7) tan  

8) cos  
Find sin 


9) tan  
Find cos


where  


where  

Find cos 



 


 

10) tan  


11) cos   where  

Find cos 
 
where  


12) tan   where  

Find tan





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Worksheet by Kuta Software LLC
Verify each identity.
13)
15)
sin x
sin x
cos x
sin xcos x
tan x
cos x
sin x
cos x
Use sin xsin xcos x
sin xcos x
cos x
Use sin xsin xcos x
sin xcos x
cos x
Cancel common factors
sin x
cos x
Use tan x
sin x
■
tan x
■
sin xcos x

csc x
csc  x
sin xcos x
cot  x
sin x

cot x
tan  xsin x
Use cot  xcsc  x
Use sin xsin xcos x
Use cot x
cot x(cos x)
tan  x
sin x
cot x(cos x)

sin xcos x
cot x(cos x)

sin xcos x
cot  xcos  x
sin x
cot  xcos x

tan x
■
sin x

tan  xsin x
cos x
sin x
cos x
tan  xsin x
sin xcos x
16)
14)
Use sin xsin xcos x
Use cos xcos  x
Cancel common factors
Use cot x

tan x
Use tan x
sin x
cos x

■
tanCreate
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