函数y=2sin(2x+π/3)+sin(2x-π/3)的最小正周期

分类: 作业答案 • 2021-12-28 11:22:49

问题描述：

答

y=2sin(2x+π/3)+sin(2x-π/3)
=2(sin2xcos派/3+cos2xsin派/3)+sin2xcos派/3-cos2xsin派/3
=3sin2xcos派/3+cos2xsin派/3
=3/2sin2x+根号3/2cos2x
从这里即可看出,最小正周期为“派”.