1.

If \[{{\sin }^{-1}}x=\frac{\pi }{5}\] for some \[x\in (-1,\,1)\], then the value of \[{{\cos }^{-1}}x\] is[IIT 1992]

A. \[\frac{3\pi }{10}\]
B. \[\frac{5\pi }{10}\]
C. \[\frac{7\pi }{10}\]
D. \[\frac{9\pi }{10}\]
Answer» B. \[\frac{5\pi }{10}\]


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