The value of 2 60^ 1 + ^260^ = ?

Answer: Option C

$$\begin{array}{rl}& \frac{2\tan {60}^{\circ }}{1+{\tan }^2{60}^{\circ }}\\ & =\frac{2\times \sqrt{3}}{1+3}\\ & =\frac{\sqrt{3}}{2}\\ & =\sin 60^{\circ }\end{array}$$