Use the reciprocal identity: \(\cot \theta=\frac{1}{\tan \theta}\)

\(\tan \theta \cot \theta=\tan \theta \times \frac{1}{\tan \theta}\)

Cancel common factors: \(\tan \theta \cot \theta=1\times(\frac{1}{1})\)

\(\tan \theta \cot \theta=1\)

Question

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\(\displaystyle \tan{\theta} \cot{\theta}={1}\)

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