If 1 + cot theta = {rm{cosec}}theta , then th | vedclass

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(c) $\frac{1}{{\sin 	heta }} = 1 + \frac{{\cos 	heta }}{{\sin 	heta }}$

$\Rightarrow \sin 	heta + \cos 	heta = 1$

$ \Rightarrow $ $\cos \le

Vedclass · Accepted Answer

$2n\pi + \frac{\pi }{2}$

Vedclass · Answer

(c) $\frac{1}{{\sin 	heta }} = 1 + \frac{{\cos 	heta }}{{\sin 	heta }}$

$\Rightarrow \sin 	heta + \cos 	heta = 1$

$ \Rightarrow $ $\cos \left( {	heta - \frac{\pi }{4}} ight)\, = \cos \frac{\pi }{4} $

$\Rightarrow 	heta - \frac{\pi }{4} = 2n\pi \pm \frac{\pi }{4}$

Hence $	heta = 2n\pi $ or $	heta = 2n\pi + \frac{\pi }{2}$.

But $	heta = 2n\pi $ is ruled out.

If $1 + \cot \theta = {\rm{cosec}}\theta $, then the general value of $\theta $ is

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