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

将2sinα-2sin（α-π/3）化为Asin（α+β）的形式是

人气：447 ℃　时间：2020-08-28 02:58:22

解答

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)