函数y=2sin(2x+π/3)+sin(2x-π/3)的最小正周期

来源:学生作业帮助网 编辑:作业帮 时间:2024/10/04 05:41:47
函数y=2sin(2x+π/3)+sin(2x-π/3)的最小正周期
x){ھ FřyF5!]0gsnvӉ+͙oTOF; ħH(fT_l>}cm è(5 $uQ$!h7~`@.XXglyڻisAɓ5a~qAb(`Gz

函数y=2sin(2x+π/3)+sin(2x-π/3)的最小正周期
函数y=2sin(2x+π/3)+sin(2x-π/3)的最小正周期

函数y=2sin(2x+π/3)+sin(2x-π/3)的最小正周期
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”.