（1）∵f(x)＝sin(2x+π6)+sin(2x−π6)+2cos2x=sin2xcosπ6+cos2xsinπ6+sin2xcosπ6−cos2xsinπ6+2cos2x+1=3sin2x+cos2x+1=2sin(2x+π6)+1．∴f（x）max=2+1=3.T＝2π|ω|＝2π2＝π．（2）∵f（x）≥2，∴2sin(2...