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Polar Coordinates: Infinite Representations
In the Cartesian coordinate system every point has only one representation:
But in the polar coordinate system each point has many representations.
For instance, in polar coordinates, the point (1 , 5π/4) could be written in multiple ways:
In fact, since a complete counterclockwise rotation is given by an angle 2π, the point represented by polar coordinates (r , θ) is also represented by:
