f(x)＝sin(x-π/3)cosx
＝[sin(x-π/3+x)+sin(x-π/3-x)]/2
＝[sin(2x-π/3)+sin(-π/3)]/2
＝(1/2)sin(2x-π/3)-√3/4.
∴y的最小正周期为：T＝2π/2＝π;
最小值为：y|min＝-1/2-√3/4;
最大值为：y|max＝1/2-√3/4.