F(x)=sin2x+根号三倍的cos2x+1怎么变成F(x)=2sin(2x+π/3)+1的

问题描述:

F(x)=sin2x+根号三倍的cos2x+1怎么变成F(x)=2sin(2x+π/3)+1的

F(x)=sin2x+√3cos2x+1=2(1/2*sin2x+√3/2*cos2x)+1
=2(sin2xcos60°+cos2xsin60°)+1
=2sin(2x+60°)+1
这样就OK了