The greatest and the least value of \[{{({{\sin }^{-1}}x)}^{3}}+{{({{\cos }^{-1}}x)}^{3}}\]are

\[-\frac{\pi }{2},\,\frac{\pi }{2}\]

\[-\frac{{{\pi }^{3}}}{8},\,\frac{{{\pi }^{3}}}{8}\]

\[\frac{7{{\pi }^{3}}}{8},\,\,\frac{{{\pi }^{3}}}{32}\]

The greatest and the least value of \[{{({{\sin }^{-1}}x)}^{3}}+{{({{\

1.	The greatest and the least value of \[{{({{\sin }^{-1}}x)}^{3}}+{{({{\cos }^{-1}}x)}^{3}}\]are
A.	\[-\frac{\pi }{2},\,\frac{\pi }{2}\]
B.	\[-\frac{{{\pi }^{3}}}{8},\,\frac{{{\pi }^{3}}}{8}\]
C.	\[\frac{7{{\pi }^{3}}}{8},\,\,\frac{{{\pi }^{3}}}{32}\]
D.	None of these
Answer» D. None of these

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The greatest and the least value of \[{{({{\sin }^{-1}}x)}^{3}}+{{({{\cos }^{-1}}x)}^{3}}\]are

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