y=sin(x-π/3)*cosx=(sinxcosπ/3-cosxsinπ/3)*cosx=1/2sinxcosx-√3/2cosx^2=1/4sin2x-√3/4(2cosx^2-1)-√3/4=1/4sin2x-√3/4cos2x-√3/4=1/2*(1/2*sin2x-√3/2cos2x)-√3/4=1/2*sin(2x-π/3)-√3/4所以周期为2π...