If $$A + B = 90^{\circ}$$, then the expression $$\frac{\cot A}{\cot B} + \cos^{2} A + \cos^{2} B$$ is equal to:

A

$$\cot^{2} B$$

B

$$\cosec^{2} A$$

C

$$\cot^{2} A$$

D

$$\cosec^{2} B$$