f(x)=m.n=cos^2(ωx)+√3sinωxcosωx.
=(1/2)cos2ωx)+√3/2sin2ωx+1/2.
=sin(2ωx+π/6)+1/2.
T=2π/2ω=2π.
∴ω=1/2.
∴f(x)=sin(2*(1/2)ω+π/6).
f(x)=sin(x+π/6)+1/2.
f(x)的增区间为(2kπ-π/2,2kπ+π/2),k∈Z.