If tan = 4/3 , then the value of 3 + 2 3 - 2 is?

Answer: Option C

$$\begin{array}{rl}& \text{ tan}\theta =\frac{4}{3}\\ & \frac{\sin \theta }{\cos \theta }=\frac{4}{3}\\ & \Rightarrow \frac{3\times 4+2\times 3}{3\times 4-2\times 3}\\ & \Rightarrow \frac{18}{6}\\ & \Rightarrow 3\end{array}$$