The value of $ an ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2} ight)+\sin ^{-1}\left(-\frac{1}{2} ight)$ is

Question

The value of $	an ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}ight)+\sin ^{-1}\left(-\frac{1}{2}ight)$ is

Aicharya · Accepted Answer

$\begin{aligned} & 	an ^{-1}(1)+\cos ^{-1}\left(\frac{-1}{2}ight)+\sin ^{-1}\left(\frac{-1}{2}ight) \ & =\frac{\pi}{4}+\frac{2 \pi}{3}-\frac{\pi}{6} \ & =\frac{3 \pi}{4}\end{aligned}$

The value of $\tan ^{-1}(1)+\cos ^{-1}\left(-\frac{1}{2}\right)+\sin ^{-1}\left(-\frac{1}{2}\right)$ is

Solution