sin² π/3 + tan π/3
Use this triangle and you can work it out yourself.
http://web2.0calc.com/questions/trig-function_2#r1
pi/3 = 60 degrees
sin2π/3 + tanπ/3
= \((\frac{\sqrt{3}}{2})^2+\sqrt 3\)
=\(\frac{3}{4}+\sqrt{3}\)
= \(\frac{3+4\sqrt3}{4}\)