怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)

来源:学生作业帮助网 编辑:六六作业网 时间:2024/11/17 09:30:06
怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)怎样化简f(

怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)
怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)

怎样化简f(x)=sin(2x+π/6)+根3cos(2x-π/6)-3sin(2x+π/2)
f(x)=sin(2x+π/6)+√3cos(2x-π/6)-3sin(2x+π/2)
=(√3/2)sin2x+(1/2)cos2x+√3((√3/2)cos2x+(1/2)sin2x )-3cos2x
=√3sin2x - cos2x
=2sin(2x-π/6)