函数f(x)=sinxcosx+根号3cos^2x-根号3/2

问题描述:

函数f(x)=sinxcosx+根号3cos^2x-根号3/2
最小正周期 最大值 增区间

f(x)=sinxcosx+√3(cosx)^2-√3/2

=(1/2)sin2x+(√3/2)cos2x

=sin2xcosπ/3+cos2xsinπ/3

=sin(2x+π/3)