y=2(sinx*1/2+cosx*√3/2)
=2(sinxcosπ/3+cosxsinπ/3)
=2sin(x+π/3)
所以T=2π/1=2π
-1≤sin(x+π/3)≤1
-2≤2sin(x+π/3)≤2
所以最大值是2,最小值是-2