Period of cosx×cos(120-x)×cos(120+x)?

HI, y = cosx cos120-xcos120+xNow we know that cosA-BcosA+B= cos2A-sin2Bso here  cos120-xcos120+x= cos2120-sin2x= 14-sin2x= 14-1+cos2x=cos2x-34 so y =  cosx cos2x-34= 144cos3x-3cosx= cos3x4so period = 2π3

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