将2sinα-2sin(α-π/3)化为Asin(α+β)的形式是

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/28 05:21:19
将2sinα-2sin(α-π/3)化为Asin(α+β)的形式是将2sinα-2sin(α-π/3)化为Asin(α+β)的形式是将2sinα-2sin(α-π/3)化为Asin(α+β)的形式是用

将2sinα-2sin(α-π/3)化为Asin(α+β)的形式是
将2sinα-2sin(α-π/3)化为Asin(α+β)的形式是

将2sinα-2sin(α-π/3)化为Asin(α+β)的形式是
用a
原式=2sina-2(sinacosπ/3-cosasinπ/3)
=2sina-sina+√3cosa
=sina+√3cosa
=2(sina*1/2+cosa*√3/2)
=2(sinacosπ/3+cosasinπ/3)
=2sin(a+π/3)

=2(sina-1/2sina+(3^1/2)/2cosa)
=2(1/2sina+(3^1/2)/cosa)
=2sin(a+∏/3)

原式=2sinα-2(sinαcosπ/3-cosαsinπ/3)=sinα+√3cosα=2sin(α+π/3)