Find $\sin \large\frac{x}{2},$$\cos \large\frac{x}{2}$ and $\tan \large\frac{x}{2}$ when $\tan x=-\large\frac{4}{3}$,$x$ in quadrant II

Question

$\begin{array}{1 1} \sin \frac{x}{2} =\frac{2}{\sqrt 5} ; \cos \frac{x}{2} =\frac{-1}{\sqrt 5} \\ \sin \frac{x}{2} =\frac{-2}{\sqrt 5} ; \cos \frac{x}{2} =\frac{1}{\sqrt 5} \\ \sin \frac{x}{2} =\frac{-2}{\sqrt 5} ; \cos \frac{x}{2} =\frac{-1}{\sqrt 5} \\ \sin \frac{x}{2} =\frac{2}{\sqrt 5} ; \cos \frac{x}{2} =\frac{1}{\sqrt 5} \end{array}$