一道高中三角函数题，求大神详细过程，谢谢！

(1) f(x)=(√3/2)sin2x+cos²x-½ =(√3/2)sin2x+½(2cos²x-1) =(√3/2)sin2x+½cos2x =sin2xcosπ/6+cos2xsinπ/6 =sin(2x+ π/6) 最小正周期T=2π/2=π (2) f(x)=2sinxcosx+2√3cos²x-√3 =sin2x+√3(2cos²x-1) =sin