Question

Match the point below in polar coordinates with either A, B, C, or D on the graph.

Answer 1

the point is in Quadrant 4 and the best match in the options is;

Point D

Step-by-step explanation:

Given the polar coordinates;

`(-2,(5\pi)/(6))`

To simplify, let us convert it to rectangular coordinates;

`(r,\theta)\rightarrow(r\cos \theta,r\sin \theta)`

so, we have;

`\begin{gathered} (-2,(5\pi)/(6))\rightarrow(-2\cos ((5\pi)/(6)),-2\sin ((5\pi)/(6))) \\ (-2,(5\pi)/(6))\rightarrow(\sqrt[]{3},-1) \end{gathered}`

The rectangular coordinate of the given point is;

`(\sqrt[]{3},-1)`

Therefore, the point is in Quadrant 4 and the best match in the options is;

Point D