If $\tan x = \frac{3}{4}$ and $ {\pi}<x< \frac{3\pi}{2}$, then the value of $\cos \frac{x}{2}$ is:

Question

$\frac{3}{\sqrt{10}}$

$-\frac{3}{\sqrt{10}}$

$-\frac{1}{\sqrt{10}}$

$\frac{1}{\sqrt{10}}$

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