Find period of function f(x)=3 sin (pix/3)+4cos (pix/4)

Answers (1)

Solution:  We have ,

            f(x)= 3 sin fracpi x3+4 cos fracpi x4

   \ \ Rightarrow hspace1cmT_1=frac2pifracpi3=frac61hspace0.5cmand hspace0.5cmT_2=frac2pifracpi4=frac81\ \ Rightarrow hspace1cmT=(fracLCMhspace0.2cm ofhspace0.2cm6,8 HCF hspace0.2cm of hspace0.2cm 1,1)=24

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