For $$\alpha$$ and $$\beta$$ with $$0 \leq \alpha, \beta < \frac{\pi}{2}$$ if $$\cos \alpha = \sin \beta = \frac{1}{2}$$ then $$\alpha + 2\beta = $$

A

$$\frac{\pi}{4}$$

B

$$\frac{\pi}{6}$$

C

$$\frac{\pi}{3}$$

D

$$\frac{2\pi}{3}$$