Solve for x sin(2x)-tan(x)=0

$\sin (2 x) - \tan (x) = 0$

Simplify $\sin (2 x) - \tan (x)$ .

Rewrite $\tan (x)$ in terms of sines and cosines.

$\sin (2 x) - \frac{\sin (x)}{\cos (x)} = 0$

Convert from $\frac{\sin (x)}{\cos (x)}$ to $\tan (x)$ .

$\sin (2 x) - \tan (x) = 0$

Graph each side of the equation. The solution is the x-value of the point of intersection.

$x = π n, \frac{π}{4} + π n, \frac{3 π}{4} + π n$ , for any integer $n$