[1] Total no. of real solution of $\sin (\sin x) = \cos (\cos x)$ , where $x\in \left[0,2\pi\right]$
[2] Total no. of real solution of $\sin (\sin (\sin x)) = \cos (\cos (\cos x))$ , where $x\in \left[0,2\pi\right]$
[3] Total no. of real solution of $\sin (\sin (\sin (\sin (\sin x)))) = \cos (\cos (\cos (\cos (\cos x))))$ , where $x\in \left[0,2\pi\right]$