The value of (cos\left(\sin^{-1}\frac{\pi}{3}+\cos^{-1}\frac... | Mathematics | SolveeIt

Question

The value of $cos\left(\sin^{-1}\frac{\pi}{3}+\cos^{-1}\frac{\pi}{3}\right)$ is

Does not exist

Answer

Does not exist

Explanation

Solution

$\pi / 3 \notin[-1,1]$ which is the domain of $\sin ^{-1} x, \cos ^{-1} x$
So, $\cos \left(\sin ^{-1} \pi / 3+\cos ^{-1} \pi / 3\right)$ does not exist.

Mathematics Question on Properties of Inverse Trigonometric Functions

Solution