Re: Help needed

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Posted by Guru on May 25, 19100 at 14:18:50:

In Reply to: Help needed posted by K-Rob on April 18, 19100 at 04:32:01:

(1 - cos^2x)(1 + cos^2x)= 2sin^2x - sin^4x

RHS = 2sin^2x - sin^4x
=sin^2x(2-sin^2x)
=sin^2x(1+1-sin^2x)
=sin^2x(1+sin^2x+cos^2x-sin^2x)
=sin^2x(1+cos^2x)
=(1-cos^x)(1+cos^2x)
=LHS

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Comments: : (1 - cos^2x)(1 + cos^2x)= 2sin^2x - sin^4x : RHS = 2sin^2x - sin^4x : =sin^2x(2-sin^2x) : =sin^2x(1+1-sin^2x) : =sin^2x(1+sin^2x+cos^2x-sin^2x) : =sin^2x(1+cos^2x) : =(1-cos^x)(1+cos^2x) : =LHS

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