Question

Solve the following equation:
$2\sin x+\tan x=0$

Answer 1

$2\sin x+\tan x=0$

$\sin x(2\cos x+1)=0$

either $\sin x=0,x=n\pi$

or,

$2\cos x+1=0$

$\cos x=-\frac{1}{2}$

$x=2n\pi \pm \frac{2\pi }{3}$