化简f(x)=sin(2x+θ)+√3cos(2x+θ) 要详细过程,谢谢

化简f(x)=sin(2x+θ)+√3cos(2x+θ) 要详细过程,谢谢
化简f(x)=sin(2x+θ)+√3cos(2x+θ) 要详细过程,谢谢

化简f(x)=sin(2x+θ)+√3cos(2x+θ) 要详细过程,谢谢

看图片啊!

f(x)=2[(1/2)sin(2x+θ)+(√3/2)cos(2x+θ)]
=2[cos(π/3)sin(2x+θ)+sin(π/3)cos(2x+θ)]
=2sin(2x+θ+π/3)