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

Answers (1)

D Deependra Verma

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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