If $\pi<\theta<\frac{3 \pi}{2}$ And $\cos (\theta)=\frac{4}{11}$ , Find $\cos (2 \theta), \sin (2 \theta)$

Essay

If $\pi<\theta<\frac{3 \pi}{2}$ and $\cos (\theta)=\frac{4}{11}$ , find $\cos (2 \theta), \sin (2 \theta)$ , and $\tan (2 \theta)$ exactly.