Question

Considering only the principal values of the inverse trigonometric functions, the value of \(\frac{3}{2}cos^{-1}\sqrt{\frac{2}{2+\pi^2}}+\frac{1}{4}sin^{-1}\frac{2\sqrt{2}\pi}{2+\pi^2}+tan^{-1}\frac{\sqrt{2}}{\pi}\) is ______.

Answer 1

\(=\frac{\pi}{4}+\frac{\pi}{2}=\frac{3\pi}{4}\)