化简sinA+sin(A+120°)+sin(A+240°)=?

来源:学生作业帮助网 编辑:六六作业网 时间:2024/05/06 07:43:34
化简sinA+sin(A+120°)+sin(A+240°)=?化简sinA+sin(A+120°)+sin(A+240°)=?化简sinA+sin(A+120°)+sin(A+240°)=?sinA

化简sinA+sin(A+120°)+sin(A+240°)=?
化简sinA+sin(A+120°)+sin(A+240°)=?

化简sinA+sin(A+120°)+sin(A+240°)=?
sinA+sin(A+120°)+sin(A+240°)
=sinA+sin(A+120°)+sin(A+240°-360°)
=sinA+sin(A+120°)+sin(A-120°)
=sinA+sinAcos120°+cosAsin120°+sinAcos120°-cosAsin120°
=sinA+2sinAcos120°
=sinA-sinA
=0