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Prove the following identity, where the ...

Prove the following identity, where the angles involved are acute angles for which the expressions are defined.
(v) `(cosA-sinA+1)/(cosA+sinA-1)=cosec A+cotA`

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