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Write the trigonometric expression in terms of sine and cosine, and then simplify.

cos2(θ) (1 + tan2(θ))

 Dec 4, 2019
 #1
avatar+106539 
+2

cos 2θ ( 1 +  tan 2θ)  =

 

cos 2θ (  1  +   sin 2θ / cos 2θ )  =

 

cos2θ + sin 2θ

 

cos^2 θ  - sin^2 θ  +   2sinθcosθ

 

cool cool cool

 Dec 4, 2019
edited by CPhill  Dec 4, 2019
 #2
avatar+175 
0

its coming up wrong when i type that in:(

mharrigan920  Dec 4, 2019
 #3
avatar+106539 
+1

The problem might be that there are many ways to express  cos2θ  +  sin2θ 

 

You might also try these

 

1 - 2sin^2 θ  + 2sinθcosθ

 

2 cos^2θ  - 1 + 2sinθcosθ

 

 

cool cool cool

CPhill  Dec 4, 2019

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