Homework Help: Cartesian and Polar Coordinates

1. Oct 19, 2004

Poweranimals

What are the differences in the "uniqueness" of the representations in Cartesian coordinates and in polar coordinates?

2. Oct 19, 2004

robphy

Do you mean this?

Distinct rectangular coordinates map to distinct points.
However, distinct polar coordinates don't always map to distinct points.
For example, $$(r = 0, \theta=0)$$ and $$(r = 0, \theta=\pi/3)$$ map to the same point.