f(x)=2a(cosx)^2+bsinxcosx-√3/2f(0)=2a-√3/2=√3/2,a=√3/2f(π/4)=a+b/2-√3/2=1/2,b=1f(x)=√3(cosx)^2+sinxcosx-√3/2=sin(2x+π/3)f(x)单增区间是(kπ-5π/12,kπ+π/12),k属于Z