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

Answers (1)

D Deependra Verma

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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