已知函数f x 根号3sin(wx+φ)-cos(wx+φ)(w>0,0

问题描述:

已知函数f x 根号3sin(wx+φ)-cos(wx+φ)(w>0,0

f(x)=(√3)sin(ωx+φ)-cos(ωx+φ)=2{[(√3)/2]sin(ωx+φ)-(1/2)cos(ωx+φ)}=2[sin(π/3)sin(ωx+φ)-cos(π/3)cos(ωx+φ)]=-2cos(ωx+φ+π/3)f(-x)=-2cos(-ωx+φ+π/3)因为f(-x)=f(x)所以cos(φ+π/3-ωx)=co...