2√3sinxcosx+2cos²x-1
=√3(2sinxcosx)+[2cos²x-1]
=√3sin2x+cos2x
=2[(√3/2)sin2x+(1/2)cos2x]
=2[sin2xcos30°+cos2xsin30°]
=2sin(2x+30°)
2√3sinxcosx+2cos²x-1
=√3(2sinxcosx)+[2cos²x-1]
=√3sin2x+cos2x
=2[(√3/2)sin2x+(1/2)cos2x]
=2[sin2xcos30°+cos2xsin30°]
=2sin(2x+30°)