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Simplyfy: ( cosec A - sin A) ( sec A - cos A )

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$(coesc A-\sin A)(\sec A-\cos A)$
$\\\Rightarrow (cosec A-\frac{1}{\csc A})(\sec A-\frac{1}{\sec A})\\\\ \Rightarrow\frac{(cosec^2-1)}{cosec A}\times\frac{(\sec^2A-1)}{\sec A}\\\\ \Rightarrow\frac{\cot^2A}{cosec A} \times \frac{\tan^2A}{\sec A}\\\\ \Rightarrow\sin A .\cos A$

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Ravindra Pindel

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