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Prove that (tanA+secA-1)/(tanA-secA+1)=(...

Prove that `(tanA+secA-1)/(tanA-secA+1)=(1+sinA)/(cosA)`.

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To prove that \[ \frac{\tan A + \sec A - 1}{\tan A - \sec A + 1} = \frac{1 + \sin A}{\cos A}, \] we will start with the left-hand side (LHS) and manipulate it step by step. ...
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