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  4. The value of cos( sin-1(π/3)+ cos-1(π/3)) is

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

KCETKCET 2020Inverse Trigonometric Functions

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.