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Question
Prove the following identities:
`(sin^4θ + cos^4θ)/(1 - 2sin^2θ cos^2θ) = 1`
Theorem
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Solution
LHS = `((sin^2θ + cos^2θ)^2 - 2sin^2θcos^2θ)/(1 - 2sin^2θcos^2θ)`
= `((1 - 2sin^2θcos^2θ))/((1 - 2sin^2θcos^2θ))`
= 1 = RHS
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