Question

How do you find the rectangular coordinates given `(-2, 0)`?

Answer 1

`(-2,0)`

Explanation:

I think you have already given the coordinates in rectangular form, as in polar coordinates `r` is positive.

In polar coordinates `(r,theta)` signify moving a distance of `r` from origin at an angle `theta`, hence `r` is generally taken as positive.

Even assuming that a negative `r` means moving towards opposite direction to `theta`, as direction is indicated by point `(-2,0)`, this means moving `2` units towards angle opposite to `0` i.e. at an angle of `pi`. Hence it should appear as

and this is nothing but `(-2,0)` in rectangular coordinates.