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Question

Mathematics Question on Relations and functions

cos⁡[2sin⁡−134+cos⁡−134]=\cos\left[2\sin^{-1} \frac{3}{4} + \cos^{-1} \frac{3}{4}\right] =

A

35\frac{3}{5}

B

−34\frac{-3}{4}

C

does not exist

D

34\frac{3}{4}

Answer

−34\frac{-3}{4}

Explanation

Solution

GE=cos[π2+sin−134]=−sin(sin−134)=−34GE=cos\left[\frac{\pi}{2}+sin^{-1}\frac{3}{4}\right]=-sin \left(sin^{-1}\frac{3}{4}\right)=\frac{-3}{4}