Question

已知函数f(x)=2根号3sin(x/2+派/4)cos(x/2+派/4)-

已知函数f(x)=2根号3sin(x/2+派/4)cos(x/2+派/4)-sin(x+派).求f(x)的最小正周期

Answer 1

f(x)=2根号3sin(x/2+派冲桐拍/4)cos(x/2+派/4)-sin(x+派).
=√3sin(x+π/2)+sinx
=sinx+√3cosx
=2(1/2sinx+√3/散羡2cosx)
=2sin(x+π/3)
f(x)的最小正周期轮槐T=2π