利用积化和差公式:sin(2x+pi/6)cos(2x-pi/3)=[sin(4x-pi/6)+sin(pi/2)]/2所以最小正周期为2pi/4=pi/2
利用公式cosα=sin(π/2+α)cos(2x-π/3)=sin(2x-π//3+π/2)=sin(2x+π/6)代入:f(x)=sin²(2x+π/6)=1/2-(1/2)cos(4x+π/3);T=2π/ω=2π/4=π/2
T=2π/ω=2π/4=π/2