将2sinα-2sin(α-π/3)化为Asin(α+β)的形式是

问题描述:

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)