Q99 / 180 · KCET 2019 · Mathematics
\( \cos \left[2 \sin ^{-1} \frac{3}{4}+\cos ^{-1} \frac{3}{4}\right] \)
- A\( \frac{3}{4} \)
- Bdoes not exist
- Correct answerC\( -\frac{3}{4} \)
- D\( \frac{3}{5} \)
Solution
(C)
\( \mathrm{GE}=\cos \left[\frac{\Pi}{2}+\sin ^{-1} \frac{3}{4}\right]=-\sin \left(\sin ^{-1} \frac{3}{4}\right)=-\frac{3}{4} \)
\( \mathrm{GE}=\cos \left[\frac{\Pi}{2}+\sin ^{-1} \frac{3}{4}\right]=-\sin \left(\sin ^{-1} \frac{3}{4}\right)=-\frac{3}{4} \)
Hence, the correct answer is option: 'C'.