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\(\frac{cosA - sinA + 1}{cosA + sinA - 1} = cosecA + cotA, \) using the identity cosec^2 = 1 + cot^2A.

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Prove the following identities, where the angles involved are acute angles for which the expressions are defined.

\(\frac{cosA - sinA + 1}{cosA + sinA - 1} = cosecA + cotA, \) using the identity cosec2 = 1 + cot2A.

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LHS = \(\frac{cosA - sinA + 1}{cosA + sinA - 1} \)

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