Find all angles $x$ (in radians) that satisfy the equation $$\sin\!\left(x\right)\tan\!\left(x\right)+\sqrt{3}\sin\!\left(x\right)=0.$$ Your answers should be formulas that look like $$x = \text{angle}+k*\text{period}$$ where $k=\cdots,-2,-1,0,1,2,\cdots$ ranges over the integers, $0\leq \text{angle} < \text{period}$, and period is the smallest positive "period" that makes the formula work.

Note: decimal answers are not allowed, so, for example, if $\pi$ appears in your answer call it pi not 3.14159 .

The solutions of the equation are:

$x$ =
or
$x$ = .