If 2sin theta + tan theta = 0, then the gener | vedclass

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(b) $2\sin 	heta + 	an 	heta = 0$; $\sin 	heta \left( {2 + \frac{1}{{\cos 	heta }}} ight) = 0$

$i.e.,$ $\sin 	heta = 0 \Rightarrow 	heta =

Vedclass · Accepted Answer

$n\pi ,2n\pi \pm \frac{{2\pi }}{3}$

Vedclass · Answer

(b) $2\sin 	heta + 	an 	heta = 0$; $\sin 	heta \left( {2 + \frac{1}{{\cos 	heta }}} ight) = 0$

$i.e.,$ $\sin 	heta = 0 \Rightarrow 	heta = n\pi $

or $\frac{1}{{\cos 	heta }} = - 2 $

$\Rightarrow \cos 	heta = - \frac{1}{2}$

$\Rightarrow 	heta = 2n\pi \pm \left( {\frac{{2\pi }}{3}} ight)$.

If $2\sin \theta + \tan \theta = 0$, then the general values of $\theta $ are

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