Find $\sin \large\frac{x}{2},$$\cos \large\frac{x}{2}$ and $\tan \large\frac{x}{2}$ when $\cos x=-\large\frac{1}{3}$.$x$ in quadrant III

Question

$\begin{array}{1 1} \sin \frac{x}{2} =\frac{-\sqrt 6}{3} ; \cos \frac{x}{2} =\frac{- \sqrt 3}{3}; \tan \frac{x}{2} =\sqrt 2 \\ \sin \frac{x}{2} =\frac{\sqrt 6}{3} ; \cos \frac{x}{2} =\frac{\sqrt 3}{3}; \tan \frac{x}{2} =\sqrt 2 \\ \sin \frac{x}{2} =\frac{\sqrt 6}{3} ; \cos \frac{x}{2} =\frac{- \sqrt 3}{3}; \tan \frac{x}{2} = - \sqrt 2 \\ \sin \frac{x}{2} =\frac{- \sqrt 6}{3} ; \cos \frac{x}{2} =\frac{ \sqrt 3}{3}; \tan \frac{x}{2} = - \sqrt 2 \end{array}$