$$\frac{\cos 690^{\circ} + \cot 210^{\circ} + \cos 420^{\circ}}{\sin 690^{\circ} + \sec 210^{\circ} +\tan 420^{\circ}}$$

A

$$11(2 - \sqrt{3}) $$

B

$$13(2 + \sqrt{3}) $$

C

$$11(2 + \sqrt{3}) $$

D

$$13(2 - \sqrt{3})$$