The origin in polar co-ordinates is an improvement on Cartesian coordinates (0, θ) is the origin for any θ. It contains (for continuous curves) information about the angle at which a curve intersected with the origin, which can actually be an important fact for sketching the curve.

## Origin with an angle

The origin in polar co-ordinates is an improvement on Cartesian coordinates (0, θ) is the origin for any θ. It contains (for continuous curves) information about the

angleat which a curve intersected with the origin, which can actually be an important fact for sketching the curve.