Mathematics - Functions Question with Solution | TestHub

$\mathrm{F}(\mathrm{x})$ is defined when $\sin (\cos x)\ge 0$ $\begin{array}{rlr}& \cos x\ge {\sin }^{-1}0\Rightarrow \cos x\ge 0& \text{ X lies on I and IV quadrant }\end{array}$

$2n\pi -\frac{\pi }{2}\le x\le 2n\pi +\frac{\pi }{2},n\in I$