Find the principal solutions of the equation $\tan x = -\frac{1}{\sqrt{3}}.$
- A$\frac{5 \pi}{6}$ and $\frac{11 \pi}{6}$
- B$\frac{2 \pi}{3}$ and $\frac{5 \pi}{3}$
- C$\frac{\pi}{3}$ and $\frac{2 \pi}{3}$
- D$\frac{7 \pi}{6}$ and $\frac{11 \pi}{6}$
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