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Use the power reducing formulas to rewrite cot^24xsin^44x in terms of the first power of cosine.

Guest Jun 4, 2017
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I'm going to assume this is

 

cot^2(4x)sin^2(4x)   ....if so....

 

[ cos^2 (4x) / sin^2(4x)]  *  sin^2 (4x)   =

 

cos^2 (4x)   

 

Using  the reduction formula :

 

cos^2(θ)  =   [ 1  + cos (2θ) ]  /  2         we have

 

cos^2 (4x)   =  

 

[  1 + cos (8x) ]  / 2   =  

 

1 / 2   +   cos(8x) / 2

 

 

 

cool cool cool

CPhill  Jun 4, 2017

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