Question

Verify the identity.

sin2αsin4α=cos2αcos4α\newline\sin^2\alpha-\sin^4\alpha=\cos^2\alpha-\cos^4\alpha

Solution

Verified
Answered 2 years ago
Answered 2 years ago
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Simplify each side of the equation separately to verify the identity. For the left side, factor sin2α\text{sin}^2\alpha. So the equation becomes,

sin2α(1sin2α)\begin{aligned} \text{sin}^2\alpha(1-\text{sin}^2\alpha) \end{aligned}

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