Question

Write the principal value of `tan^-1sqrt3+cot^-1sqrt3`

Answer 1

We know
\[\tan^{- 1} x + \cot^{- 1} x = \frac{\pi}{2}\]
\[\therefore \tan^{- 1} \sqrt{3} + \cot^{- 1} \sqrt{3} = \frac{\pi}{2}\]