Is cos^2a-sin^2a/cos^2a+sin^2a=1-tan^2a/1+tan^2a ??

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Solution

cos^2a-sin^2a/cos^2a+sin^2a=1-tan^2a/1+tan^2a

yes its is right

Take LHS

LHS = cos^2a-sin^2a/cos^2a+sin^2a

Divide numerator and denominator by cos^2a

LHS = (1-sin^2a/cos^2a)/(1+sin^2a/cos^2a)
=1-tan^2a/1+tan^2a

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