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Porve that : (cosecA-sinA)(secA-cosA)=(...

Porve that : (cosecA-sinA)(secA-cosA)`=(1)/(tanA+cotA)`

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To prove that \((\csc A - \sin A)(\sec A - \cos A) = \frac{1}{\tan A + \cot A}\), we will start by simplifying the left-hand side (LHS) and then show that it equals the right-hand side (RHS). ### Step 1: Start with the left-hand side \[ \text{LHS} = (\csc A - \sin A)(\sec A - \cos A) \] ### Step 2: Substitute the definitions of cosecant and secant ...
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