(1)f(x)=2√3SinxCosx+2Cosx^2-1=√3sin2x+cos2x=2(√3/2sin2x+1/2cos2x)=2sin(2x+30°)T(min)=πx∈[0,∏/2],2x+30°∈[30°,210°]f(max)=2,f(min)=-1