If \[f(x)=\cos x,0\le x\le \frac{\pi }{2}\], then the real number ?c? of the mean value theorem is [MP PET 1994]

\[{{\cos }^{-1}}\left( \frac{2}{\pi } \right)\]

\[{{\sin }^{-1}}\left( \frac{2}{\pi } \right)\]

\[{{\cos }^{-1}}\left( \frac{2}{\pi } \right)\]

If \[f(x)=\cos x,0\le x\le \frac{\pi }{2}\], then the real number ?c?

1.	If \[f(x)=\cos x,0\le x\le \frac{\pi }{2}\], then the real number ?c? of the mean value theorem is [MP PET 1994]
A.	\[\frac{\pi }{6}\]
B.	\[\frac{\pi }{4}\]
C.	\[{{\sin }^{-1}}\left( \frac{2}{\pi } \right)\]
D.	\[{{\cos }^{-1}}\left( \frac{2}{\pi } \right)\]
Answer» D. \[{{\cos }^{-1}}\left( \frac{2}{\pi } \right)\]

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If \[f(x)=\cos x,0\le x\le \frac{\pi }{2}\], then the real number ?c? of the mean value theorem is [MP PET 1994]

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