Number of solutions of $\tan x=\sin x$, where $x\in [-3\pi ,3\pi ]$

The correct option is D $7$
Given: $\tan x=\sin x$

Solutions of equation $\tan x=\sin x$ are same as the number of points of intersections of graphs of $y=\tan x\text{and}y=\sin x$

The graph is given below


it is obvious from the graph that $\tan x=\sin x$ where $\tan x=\sin x=0$

And we know $\tan x=0\iff x=n\pi ,\forall n\in Z$

In the interval $[-3\pi ,3\pi ]$, required solutions are
$x=-3\pi ,-2\pi ,-\pi ,0,\pi ,2\pi ,3\pi$

Hence number of solutions is $7$.