Any quantity that has two components, can be represented in at least two different ways:
To compute the polar representation of a point (x,y):
- Rectangular Coordinates, where the magnitude of the components, can be represented by a point, with respect to a pair of orthogonal coordinate axes.
- Polar Coordinates, where the two components are the distance from a reference point, called the origin, and the angle between the line from the point to the origin, and a reference axis.
To invert the process, given a Magnitude, M, and an angle θ
- Compute the magnitude as:
- Compute the angle as:
- Compute the x coordinate as:
- Compute the y coordinate as:
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