Write the principal value of tan^-1 √3 + cot^-1 √3.

Question

Write the principal value of

\(tan^{-1}\sqrt{3}+cot^{-1}\sqrt{3}.\)

Answer 1

Given \(tan^{-1}\sqrt{3}+cot^{-1}\sqrt{3}.\) 

We know that tan^-1 √3 = π/3 and cot^-1 √3 = π/6

\(=\frac{\pi}{3}+\frac{\pi}{6}\)

\(=\frac{2\pi+\pi}{6}\)

\(=\frac{3\pi}{6}\)

= π/2