f(x)=2√3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π)
=√3sin(x+π/2)+sinx
=√3cosx+sinx
=2[sinπ/3*cosx+cosπ/3*sinx]
=2sin(x+π/3)
T=2π/1=2π