MCQ
$2 \pi-\left(\sin ^{-1} \frac{4}{5}+\sin ^{-1} \frac{5}{13}+\sin ^{-1} \frac{16}{65}\right)$ ની કિમત શોધો
- A$\frac{7 \pi}{4}$
- B$\frac{5 \pi}{4}$
- C$\frac{3 \pi}{2}$
- D$\frac{\pi}{2}$
$=2 \pi-\left(\tan ^{-1}\left(\frac{4}{3}\right)+\tan ^{-1}\left(\frac{5}{12}\right)+\tan ^{-1}\left(\frac{16}{63}\right)\right)$
$=2 \pi-\left(\tan ^{-1}\left(\frac{63}{16}\right)+\tan ^{-1}\left(\frac{16}{63}\right)\right)$
$=2 \pi-\frac{\pi}{2}=\frac{3 \pi}{2}$
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