f(x)=4cosx*sin（x+π/6)=4cosx(sinx*√3/2+cosx*1/2)=2√3sinxcosx+2(cosx)^2=√3sin2x+cos2x+1=2sin(2x+π/6)+1f(x)的最小正周期 T =π最大值为2+1=32kπ-π/2≤2x+π/6≤2kπ+π/2,k∈Z.kπ-π/3≤x≤kπ+π/6,k...