What is period of f(x)=cos(cosx)+cos(sin x).

Answers (1)

Solution:   Here , cos(cos x)  has period pi ; as it is even ,

                  also   cos (sin x)   has period pi ; as it is even .

  Thus  ,             \ \ period hspace0.2cmof hspace0.2cmf(x)=frac12[LCM hspace0.2cmof hspace0.2cmpi hspace0.2cmand hspace0.2cmpi]

Hence ,                       \ \ period hspace0.2cmof hspace0.2cmf(x)=fracpi2

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