If $\sin ^{-1} x=y,$ then

The value of $\sec ^{-1}\left(\frac{1}{4} \sum_{k=0}^{10} \sec \left(\frac{7 \pi}{12}+\frac{k \pi}{2}\right) \sec \left(\frac{7 \pi}{12}+\frac{(k+1) \pi}{2}\right)\right)$ in the interval $\left[-\frac{\pi}{4}, \frac{3 \pi}{4}\right]$ equals

The principal value of $\cot ^{-1}\left(\frac{-1}{\sqrt{3}}\right)$ is

Find the principal value of $\tan ^{-1}(-\sqrt{3})$

The value of $\cos^{-1}(\frac{1}{2}) + 2\sin^{-1}(\frac{1}{2})$ is equal to

Which of the following graphs is the graph of $f(x) = \tan^{-1} x, (x \in R)$?