$$\sin 75^\circ =$$

A

$$\frac{\sqrt{3} + 1}{\sqrt{3} - 1}$$

B

$$\frac{\sqrt{3} - 1}{\sqrt{3} + 1}$$

C

$$\frac{\sqrt{3} - 1}{2\sqrt{2}}$$

D

$$\frac{\sqrt{3} + 1}{2\sqrt{2}}$$