Trig1.11

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Prove that \frac{\sin^4 \theta-\cos^4 \theta}{\sin^2 \theta-\cos^2 \theta}=1\,

LHS is \frac{\sin^4 \theta-\cos^4 \theta}{\sin^2 \theta-\cos^2 \theta}\,

\frac{(\sin^2 \theta-\cos^2 \theta)(\sin^2 \theta+\cos^2 \theta)}{\sin^2 \theta-\cos^2 \theta}\,

\sin^2 \theta+\cos^2 \theta\,

1\,=RHS


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