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Prove that (cotA- cosA)/(cotA+ cosA) = (...

Prove that `(cotA- cosA)/(cotA+ cosA) = (cosecA -1)/(cosecA+1)`

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To prove that \[ \frac{\cot A - \cos A}{\cot A + \cos A} = \frac{\csc A - 1}{\csc A + 1} \] we will start with the left-hand side (LHS) and manipulate it to show that it equals the right-hand side (RHS). ...
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