f(x)= (1+根号3*tanx)*cosx 的最小正周期

问题描述:

f(x)= (1+根号3*tanx)*cosx 的最小正周期

f(x)=(1+√3tanx)cosx
=cosx+√3tanxcosx
=cosx+√3sinx
=2[(1/2)cosx+(√3/2)sinx]
=2[sin(π/6)cosx+cos(π/6)sinx]
=2sin(x+π/6)
T=2π