$\sin ^{-1}\left(\frac{1}{2}\right)+\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)+\cot…
$\sin ^{-1}\left(\frac{1}{2}\right)+\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)+\cot ^{-1}\left(-\frac{1}{\sqrt{3}}\right)=$
- $\frac{2 \pi}{3}$
- $\mathrm{\pi}$
- $\frac{\pi}{6}$
- $\frac{\pi}{3}$
Solution
$\sin ^{-1}\left(\frac{1}{2}\right)+\cos ^{-1}\left(\frac{\sqrt{3}}{2}\right)+\cot ^{-1}\left(\frac{-1}{\sqrt{3}}\right)$
$=30^{\circ}+30^{\circ}+120^{\circ}$
$=\pi$
Asked in: MHT CET 2020 (14 Oct Shift 1)
Practice more Inverse Trigonometric Functions questions on Aicharya