Prove that the equation Is an identity.

Sec^4x - Tan^4x = Sec^2x + Tan^2x

1 answer

LS = (sec^2 x - tan^2x)(sec^2x + tan^2x)
= (1 + tan^2x - tan^2x)(sec^2x + tan^2x)
= 1(sec^2x + tan^2x)
= RS
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