学帮网已知函数f(X)=sin(wx+A)—根3cos(wx+A)(w>0,0
来源：学生作业学帮网 编辑：学帮网 时间：2024/05/15 19:18:23
已知函数f(X)=sin(wx+A)—根3cos(wx+A)(w>0,0
∵f(x)＝sin(wx＋A)－√3cos(wx＋A)＝2[1/2sin(wx＋A)－√3/2cos(wx＋A)]＝2sin(wx＋A－π/3)
∵函数Y=f(x)的图像相邻对称轴的距离为π/3 ∴T＝2×π/3＝2π/w ∴w＝3
∴f(x)＝2sin(3x＋A－π/3)
∵函数f(X)＝sin(wx＋A)－√3cos(wx＋A)(w>0,0
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