cot theta = sin 2theta (theta ne npi , n is i | vedclass

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Question

(b) $\cot 	heta = \sin 2	heta ,{m{ }}(	heta 
e n\pi ) $

$\Rightarrow 2{\sin ^2}	heta \cos 	heta = \cos 	heta $

$ \Rightarrow $ $\cos

Vedclass · Accepted Answer

${45^o}$ and ${90^o}$

Vedclass · Answer

(b) $\cot 	heta = \sin 2	heta ,{m{ }}(	heta 
e n\pi ) $

$\Rightarrow 2{\sin ^2}	heta \cos 	heta = \cos 	heta $

$ \Rightarrow $ $\cos 	heta = 0$ or ${\sin ^2}	heta = \frac{1}{2} = {\sin ^2}\left( {\frac{\pi }{4}} ight)$

$ \Rightarrow $ $	heta = (2n + 1)\frac{\pi }{2}$ or $	heta = n\pi \pm \frac{\pi }{4}$

$ \Rightarrow $ $	heta = {90^o}$ and ${45^o}$.

$\cot \theta = \sin 2\theta (\theta \ne n\pi $, $n$ is integer), if $\theta = $

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