Answer:
the point is in Quadrant 4 and the best match in the options is;
Point D
Explanation:
Given the polar coordinates;
[tex](-2,\frac{5\pi}{6})[/tex]
To simplify, let us convert it to rectangular coordinates;
[tex](r,\theta)\rightarrow(r\cos \theta,r\sin \theta)[/tex]
so, we have;
[tex]\begin{gathered} (-2,\frac{5\pi}{6})\rightarrow(-2\cos (\frac{5\pi}{6}),-2\sin (\frac{5\pi}{6})) \\ (-2,\frac{5\pi}{6})\rightarrow(\sqrt[]{3},-1) \end{gathered}[/tex]
The rectangular coordinate of the given point is;
[tex](\sqrt[]{3},-1)[/tex]
Therefore, the point is in Quadrant 4 and the best match in the options is;
Point D
