ω=2π/6π= 1/3

When x=π/2, the function takes the maximum value.

π/6+φ=π/2

φ=π/3

f(x)=2sin(x/3+π/3)

Increase interval: 2kπ-π/2≤x/3+π/3≤2kπ+π/2, k ∈ Z.

6kπ-5π/2≤x≤6kπ+π/2，

choose one