y=1/2sin2x+√3/2cos2x
=sin(2x+π/3)
=cos(π/2-2x-π/3)
=cos(2x-π/6)
=cos[2(x-π/12)]
y=cos(2x+π/3)
=cos[2(x+π/6)]
∴将y=1/2sin2x+√3/2cos2x的图像向左平移π/6-(-π/12)=π/4即可
y=1/2sin2x+√3/2cos2x
=sin(2x+π/3)
=cos(π/2-2x-π/3)
=cos(2x-π/6)
=cos[2(x-π/12)]
y=cos(2x+π/3)
=cos[2(x+π/6)]
∴将y=1/2sin2x+√3/2cos2x的图像向左平移π/6-(-π/12)=π/4即可