Question

The value of $si{n}^{-1}\left(\frac{2\sqrt{2}}{3}\right)+si{n}^{-1}\left(\frac{1}{3}\right)$ is equal to-

• A. $\frac{\pi }{6}$
• B. $\frac{\pi }{2}$
• C. $\frac{\pi }{4}$
• D. $\frac{2\pi }{3}$

Answer 1

The correct option is B

$\frac{\pi }{2}$

$si{n}^{-1}\left(\frac{2\sqrt{2}}{3}\right)+si{n}^{-1}\left(\frac{1}{3}\right)=si{n}^{-1}\left(\frac{2\sqrt{2}}{3}\right)+co{s}^{-1}\left(\frac{2\sqrt{2}}{3}\right)=\frac{\pi }{2}$