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Prove that\begin{aligned}\left(\frac{\sin A}{1+\cos A}+\frac{1+\cos A}{\sin A}\right)\left(\frac{\sin A}{1-\cos A}-\frac{1-\cos A}{\sin A}\right) \\=& 4 \cosec A \cot A \end{aligned} % 1+ c__osA sin AA sin A 1 - co;=4 cosec A cot . |
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