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The function \[f(x)={{\sin }^{4}}x+{{\cos }^{4}}x\] increases, if [IIT 1999; Pb. CET 2001]

A. \[0<x<\frac{\pi }{8}\]
B. \[\frac{\pi }{4}<x<\frac{3\pi }{8}\]
C. \[\frac{3\pi }{8}<x<\frac{5\pi }{8}\]
D. \[\frac{5\pi }{8}<x<\frac{3\pi }{4}\]
Answer» C. \[\frac{3\pi }{8}<x<\frac{5\pi }{8}\]


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