Question:
Let $f(x)=\left(\sin \left(\tan ^{-1} x\right)+\sin \left(\cot ^{-1} x\right)\right)^{2}-1,|x|>1$.
If $\frac{\mathrm{dy}}{\mathrm{dx}}=\frac{1}{2} \frac{\mathrm{d}}{\mathrm{dx}}\left(\sin ^{-1}(f(\mathrm{x}))\right)$ and $\mathrm{y}(\sqrt{3})=\frac{\pi}{6}$, then $\mathrm{y}(-\sqrt{3})$ is equal to
Correct Option: 1
Solution:
