f(x)=2√3sin(x/2+π/4)cos(x/2+π/4)-sin(x+π)
=√3sin(x+π/2)+sinx
=√3cosx+sinx
=2sin(x+ π/3),
(1)2π.
(2)g(x)=2sin(x+π/6),在[0,π]上的最大值是2,最小值是-1.