If A = $$10^{\circ}$$, what is the value of:
$$\frac{12 \sin 3A + 5\cos \left(5A-5^{\circ}\right)}{9\sin \frac{9A}{2}- 4\cos \left(5A+10^{\circ}\right)}$$

A

$$\frac{6\sqrt{2} + 5}{\left(9-2\sqrt{2}\right)}$$

B

$$\frac{6\sqrt{2}-5}{\left(9-2\sqrt{2}\right)}$$

C

$$\frac{\left(9-2\sqrt{2}\right)}{6\sqrt{2} + 5}$$

D

$$\frac{6\sqrt{2} + 5}{\left(9+2\sqrt{2}\right)}$$