f(x)=(2sinx)×(√3cosx)＋(cosx＋sinx)×(sinx－cosx)f(x)=2√3sinxcosx－(cos²x－sin²x)f(x)=√3sin2x－cos2xf(x)=2sin(2x－π/6)函数f(x)的周期是2π/2=π递增区间是：2kπ－π/2≤2x－π/6≤2kπ＋π/...sin(a－b)=sinacosb－cosasinbf(x)=√3sin2x－cos2xf(x)=2[(√3/2)sin2x－(1/2)cos2x]f(x)=2[sin2xcos(π/6)－cos2xsin(π/6)]f(x)=2sin(2x－π/6)【必修4《两角和差三角函数》】 函数f(x)=Asin(wx＋φ)的最小正周期是2π/|w|