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Prove that (cosA-sinA+1)/(cosA+sinA-1) ...

Prove that `(cosA-sinA+1)/(cosA+sinA-1) =cosec A+ cot A` using the identity `cosec^(2)A=1+cot^(2)A`.

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To prove that \[ \frac{\cos A - \sin A + 1}{\cos A + \sin A - 1} = \csc A + \cot A, \] 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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