A) \[\frac{3\pi }{10}\]
B) \[\frac{5\pi }{10}\]
C) \[\frac{7\pi }{10}\]
D) \[\frac{9\pi }{10}\]
Correct Answer: A
Solution :
\[{{\sin }^{-1}}x+{{\cos }^{-1}}x=\frac{\pi }{2}\] Þ \[{{\cos }^{-1}}x=\frac{\pi }{2}-{{\sin }^{-1}}x=\frac{\pi }{2}-\frac{\pi }{5}=\frac{3\pi }{10}\] .
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