1.

There exists a positive real number x satisfying \[\cos (ta{{n}^{-1}}x)=x\], Then the value of \[{{\cos }^{-1}}\left( \frac{{{x}^{2}}}{2} \right)\]is

A. \[\frac{\pi }{10}\]
B. \[\frac{\pi }{5}\]
C. \[\frac{2\pi }{5}\]
D. \[\frac{4\pi }{5}\]
Answer» D. \[\frac{4\pi }{5}\]


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