Let $$f : (-1, 1) \rightarrow IR$$ be such that $$f(\cos 4 \theta) = \frac{2}{2 - \sec^2 \theta}$$ for $$\theta \in \left(0, \frac{\pi}{4}\right)\cup \left(\frac{\pi}{4}, \frac{\pi}{2}\right)$$ Then the value(s) of $$f\left(\frac{1}{3}\right)$$ is (are)

A

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

B

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

C

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

D

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