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Q)

Evaluate $tan^{-1} (\frac{\cos x}{1-\sin x}), \;\; \; -\frac{\pi}{2} < x < \frac{\pi}{2}$


$(A)\;\frac{\pi}{2} + \frac{x}{2}$
$(B)\;\frac{\pi}{4} + \frac{x}{4}$
$(C)\;\frac{\pi}{4} - \frac{x}{4}$
$(D)\;\frac{\pi}{2} - \frac{x}{2}$

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