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Converting Between Rectangular and Polar Equations

Just as in the previous section, you can convert rectangular equations to polar equations using the same formulas introduced before (summarized below). Rectangular equations are written exclusively in terms of x and y, while polar equations are written in terms of r and θ. The first of many videos related to this concept shows how to transform rectangular equations to polar:

Converting rectangular equations to polar:

The next video will demonstrate how to go in the opposite direction, where you convert from polar to rectangular form.

Converting polar equations to rectangular:

In case you’re need of more practice, the video below shows several more examples.