Let $$\theta, \phi \in [0, 2 \pi]$$ be such that
$$2 \cos \theta (1 - \sin \phi) = \sin^2 \theta \left(\tan \frac{\theta}{2} + \cot \frac{\theta}{2}\right) \cos \phi - 1, \tan(2 \pi - \theta) > 0$$ and $$-1 < \sin \theta < -\frac{\sqrt{3}}{2}$$. Then $$\phi$$ cannot satisfy

A

$$0 < \phi < \frac{\pi}{2}$$

B

$$\frac{\pi}{2} < \phi < \frac{4 \pi}{3}$$

C

$$\frac{4\pi}{3} < \phi < \frac{3 \pi}{2}$$

D

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