What is the maximum value of f(x)=sin2(x)+3sin(x)cos(x)f(x) = \sin^2(x) + \sqrt{3}\sin(x)\cos(x)f(x)=sin2(x)+3sin(x)cos(x)?
111
1.51.51.5
222
1+3/21 + \sqrt{3}/21+3/2