Question

How do you convert the cartesian coordinate (0, −4) into polar coordinates?

Answer 1

Cartesian: `(0,-4)` = Polar: `((3pi)/2,4)`

Explanation:

See diagram below:

The point (in terms of Cartesian coordinates) is on the negative Y-axis, so the angle is `theta =(3pi)/2` (radians).

The distance from the origin is `4`, so `r=4`