A) \[1\]
B) \[0\]
C) \[1/2\]
D) None of these
Correct Answer: C
Solution :
Let \[f(x)=si{{n}^{4}}x+cs{{o}^{4}}x\] \[={{({{\cos }^{2}}x+{{\sin }^{2}}x)}^{2}}-2{{\sin }^{2}}x\,{{\cos }^{2}}x\] \[=1-\frac{1}{2}\,{{\sin }^{2}}\,2x\] The maximum value of \[{{\sin }^{2}}\,2x\] is 1. \[\therefore \] The minimum value of \[f(x)\] is given by- \[f(x)=1-\frac{1}{2}(1)=\frac{1}{2}\]You need to login to perform this action.
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