f(x)=根号3sin^2X+sinxcosx 求最小正周期

问题描述:

f(x)=根号3sin^2X+sinxcosx 求最小正周期

f(x)=根号3sin^2X+sinxcosx
=(1/2)*sin2x-(√3/2)cos2x+√3/2
=sin(2x-π/3)+√3/2
所以最小正周期是T=2π/2=π
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