用辅助角公式化简y=(根号3)sin2x+cos2x

问题描述:

用辅助角公式化简y=(根号3)sin2x+cos2x

y=√3sin2x+cos2x
=2[(√3/2)sin2x+(1/2)cos2x]
=2(sin2xcos30°+cos2xsin30°)
=2six(2x+30°)