已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx 求1最已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx 求1最小正周期,2单调递增区间

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已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx求1最已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx求1最小正周期,2

已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx 求1最已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx 求1最小正周期,2单调递增区间
已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx 求1最
已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx 求1最小正周期,2单调递增区间

已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx 求1最已知函数f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx 求1最小正周期,2单调递增区间
f(x)=2cosxsin(x+π/3)+√3(sinx)^2+sinxcosx
=2cosx(1/2sinx+√3/2cosx )+√3(sinx)^2+sinxcosx
=sinxcosx +√3(cosx)^2+√3(sinx)^2+sinxcosx
=2sinxcosx+√3
=√3+sin2x
T=2π/2=π
2x在[2kπ-π/2,2kπ+π/2]单调递增
x在[kπ-π/4,kπ+π/4]单调递增