sin2x+根号3cos2x 怎么样变成2sin(2x+π/3)

来源:学生作业帮助网 编辑:作业帮 时间:2024/05/10 23:52:42
sin2x+根号3cos2x 怎么样变成2sin(2x+π/3)

sin2x+根号3cos2x 怎么样变成2sin(2x+π/3)
sin2x+根号3cos2x 怎么样变成2sin(2x+π/3)

sin2x+根号3cos2x 怎么样变成2sin(2x+π/3)
sin2x+√3cos2x
=2(1/2sin2x+√3/2cos2x)
=2(sin2xcosπ/3+cos2xsinπ/3)
=2sin(2x+π/3) 则公式sin(a+b)=sinacosb+cosasinb逆来的.

sin2x+√3cos2x
=2(1/2sin2x+√3/2cos2x)
=2(sin2xcosπ/3+cos2xsinπ/3)
=2sin(2x+π/3)