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The period of the function f(x)=cos^3x+sin^3x is

Answers (1)

D Deependra Verma

Solution: $f(x)=cos^3x+sin^3x$

$f(x)=frac14[3(sin x+cos x)-sin 3x+cos 3x].$

Now , $pd(sin x)=2pi;pd(cos x)=2pi,$

$pd(sin x+cos x)=2pi,pd(sin 3x)=frac2pi3$ and $pd(cos 3x)=frac2pi3.$

$herefore$ $pd(f)=LCM\frac2pi1,frac2pi3=fracLCM2pi,2piHCF1,3=2pi.$

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