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 \(\sin(\theta_x)=x\)

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