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Prove that (cos x)/((1- sin x)) = tan .(...

Prove that `(cos x)/((1- sin x)) = tan .((pi)/(4) + (x)/(2))`

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To prove that \[ \frac{\cos x}{1 - \sin x} = \tan\left(\frac{\pi}{4} + \frac{x}{2}\right) \] 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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