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Home  >>  EAMCET  >>  Mathematics
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If $f(x)=\sin ^6 x+ \cos ^6x$ for $x \in IR,$ then $f(x)$ lies in the interval

\[\begin {array} {1 1} (a)\;\bigg[\frac{7}{8},\frac{5}{4}\bigg] & \quad (b)\;\bigg[\frac{1}{2},\frac{5}{8}\bigg] \\ (c)\;\bigg[\frac{1}{4},1\bigg] & \quad (d)\;\bigg[\frac{1}{4},\frac{1}{2}\bigg] \end {array}\]
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$ (c)\;\bigg[\frac{1}{4},1\bigg]$
answered Nov 7, 2013 by pady_1
 
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