函数f(x)=4sin(x-π/3)cosx+√3,求周期
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函数f(x)=4sin(x-π/3)cosx+√3,求周期
函数f(x)=4sin(x-π/3)cosx+√3,求周期
函数f(x)=4sin(x-π/3)cosx+√3,求周期
f(x)=4sin(x-π/3)cosx+√3
=4sinxcosπ/3cosx-4cosxsinπ/3cosx+√3
=sin2x-√3(cos2x+1)+√3
=sin2x-√3cos2x
=2(1/2sin2x-√3/2cos2x)
=2sin(2x-π/3)
T=2π/2=π