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Question Number 18114 by ibraheem160 last updated on 15/Jul/17

$$\sqrt{\frac{(1+\cos \theta )(1+\cos \theta )}{1-\cos \theta )(1+\cos \theta )}}$$$$\Rightarrow \sqrt{\frac{{(1+\cos \theta )}^2}{1-{\cos }^2\theta }}$$$$\mathrm{recall}\mathrm{that}:{\cos }^2\theta -1={\sin }^2\theta$$$$\frac{1+\cos \theta }{{\sin }^2\theta }$$$$\frac{1}{\sin \theta }+\frac{\cos \theta }{\sin \theta }$$$$=\mathrm{cosec}\theta +\cot \theta$$

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