If f(x)=2sin(x)f(x) = 2\sin(x)f(x)=2sin(x) and g(x)=cos(x)g(x) = \cos(x)g(x)=cos(x), what is the maximum value of the function h(x)=f(x)+g(x)h(x) = f(x) + g(x)h(x)=f(x)+g(x)?
111
3\sqrt{3}3
5\sqrt{5}5
333