f(x)=sinx*cosx+根号3*(cosx)^2-根号3/2 (1)最小正周期

问题描述:

f(x)=sinx*cosx+根号3*(cosx)^2-根号3/2 (1)最小正周期

f(x)=1/2*sin2x+√3(1+cos2x)/2-√3/2
=1/2*sin2x+√3/2*cos2x
=sin2xcosπ/3+cos2xsinπ/3
=sin(2x+π/3)
所以T=2π/2=π