Mathematics - Inverse Trigonometric Functions Question with Solution | TestHub

Put $\mathrm{y}={\sin }^{-1}(|\sin \mathrm{x}|)\ge 0$. The equation $\mathrm{y}=\sqrt{\mathrm{y}}$ gives $\mathrm{y}=0$ or 1. For $\mathrm{y}=0,\mathrm{x}=\mathrm{n}\pi$. For $\mathrm{y}=1,|\sin \mathrm{x}|=\sin 1$ and $\mathrm{x}=\mathrm{n}\pi \pm 1$; the D family is included in $\mathrm{n}\pi +1$.