Number of solution (s) of equation cosec, the | vedclass

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Question

$\cos ec	heta  - \cot 	heta  = 1 \Rightarrow 1 - \cos 	heta  = \sin 	heta $

$\Rightarrow 2 \sin ^{2} \frac{	heta}{2}=2 \sin \fr

Vedclass · Accepted Answer

$1$

Vedclass · Answer

$\cos ec	heta  - \cot 	heta  = 1 \Rightarrow 1 - \cos 	heta  = \sin 	heta $

$\Rightarrow 2 \sin ^{2} \frac{	heta}{2}=2 \sin \frac{	heta}{2} \cos \frac{	heta}{2}$

$\Rightarrow \sin \frac{	heta}{2}\left(\sin \frac{	heta}{2}-\cos \frac{	heta}{2}ight)=0$

$\because \sin \frac{	heta}{2} 
eq 0 \Rightarrow 	an \frac{	heta}{2}=1 \Rightarrow 	heta=\frac{\pi}{2}$

Number of solution $(s)$ of equation $cosec\, \theta -cot \,\theta = 1$ in $[0,2 \pi]$ is-

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