Question

What is the Cartesian form of `(-36,2pi)`?

Answer 1

Polar form: `(r,theta) = (-36,2pi)color(white)("XXX")`Cartesian form: `(x,y)=(-36,0)`

Explanation:

An angle of `theta=2pi` is a complete circle, placing the point back on the X-axis (when viewed in Cartesian terms).

Normally the point would be on the positive X-axis.
However, the minus sign on the radius `r=-36` indicates that the point is on the opposite side of the origin (and, in this case at a distance of `36` to the left of the origin)