Prove the identities. \[\frac{\tan ^{3} \theta}{1+\tan ^{2} \theta}+\frac{\cot ^{3} \theta}{1+\c...

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Prove the
identities.
\[\frac{\tan ^{3} \theta}{1+\tan ^{2} \theta}+\frac{\cot ^{3} \theta}{1+\cot ^{2} \theta}=\frac{1-2 \sin ^{2} \theta \cos ^{2} \theta}{\sin \theta \cos \theta}\]
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