A) \[\frac{\pi }{2}\]
B) \[\frac{2\pi }{3}\]
C) \[\frac{5\pi }{3}\]
D) None of these
Correct Answer: A
Solution :
\[2\,{{\sin }^{-1}}\frac{3}{5}+{{\cos }^{-1}}\frac{24}{25}={{\sin }^{-1}}2\times \frac{3}{5}\sqrt{1-\frac{9}{25}}+{{\cos }^{-1}}\frac{24}{25}\] \[={{\sin }^{-1}}\frac{24}{25}+{{\cos }^{-1}}\frac{24}{25}=\frac{\pi }{2}\].
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