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Q. $\cos\left[2\sin^{-1} \frac{3}{4} + \cos^{-1} \frac{3}{4}\right] = $

KCETKCET 2019Inverse Trigonometric Functions

Solution:

$GE=cos\left[\frac{\pi}{2}+sin^{-1}\frac{3}{4}\right]=-sin \left(sin^{-1}\frac{3}{4}\right)=\frac{-3}{4}$