The period of the function f(x)=cos ^4x+sin^4 x , is

Answers (1)

Solution:        f(x)=(cos ^2x+sin^2x)^2-2sin^2xcdot cos ^2x,

                       Rightarrow      f(x)=1-frac12sin^2(2x)

                      Rightarrow           f(x)=frac34+frac14cos 4x,

                     Rightarrow            pd(f)=frac2pi4=fracpi2.

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