Differentiate sin and its inverse

Calculus Level 3

For any real number $\dfrac{\pi}{2}< x < \pi$ evaluate the following:-
$\dfrac{d}{dx} \left({\sin}^{-1}\left(\sin\left(x\right)\right)\right)$

Definitions used:

$\sin^{-1}(x)$ is the arcsine function which gives the unique angle $\theta_x\in \left[\dfrac{-\pi}{2},\dfrac{\pi}{2}\right]$ such that $\sin(\theta_x)=x$