Trigonometry - Proving and Simplifying Trigonometric Identities

Trigonometry - Proving and Simplifying Trigonometric Identities

Prove the identity \((1 - \sin x) \left(1 + \frac{1}{\sin x}\right) = \cos x \cot x\).

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Answer:\((1-\sin x)\left(1+\frac1{\sin x}\right)=\cos x\cot x\), for \(\sin x\ne0\).

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