A) 0
B) \[\frac{\sqrt{5}-4\sqrt{2}}{9}\]
C) \[\frac{\sqrt{5}+4\sqrt{2}}{9}\]
D) \[\frac{\pi }{2}\]
Correct Answer: C
Solution :
\[{{\sin }^{-1}}\frac{1}{3}+{{\sin }^{-1}}\frac{2}{3}\] \[={{\sin }^{-1}}\left[ \frac{1}{3}\sqrt{1-\frac{4}{9}}+\frac{2}{3}\sqrt{1-\frac{1}{9}} \right]={{\sin }^{-1}}\,\left[ \frac{\sqrt{5}+4\sqrt{2}}{9} \right]\] Therefore\[x=\frac{\sqrt{5}+4\sqrt{2}}{9}\].
You need to login to perform this action.
You will be redirected in
3 sec
