If $f(x)=x^2$ $g(x)=sinx$, $\forall x\in R$, then the set of all $x$ satisfying $fogogof(x)=gogof(x)$ is

Question

$\begin{array}{1 1} x=\pm\sqrt{n\pi}, where n\in \{0,1,2..............\} \\x=\pm\sqrt{n\pi}, where n\in \{1,2..............\} \\ x=\frac{\pi}{2}+2n\pi, \;where\; n\in \{.......-2,-1,0,1,2..............\} \\x=2n\pi,\; where \;n\in \{.......-2,-1,0,1,2..............\} \end{array}$