Polar equations are mathematical expressions that describe curves in the polar coordinate system, where points are represented by their distance from the origin and their angle from a reference line.
Think of polar equations as GPS coordinates for a ship navigating through icy waters. The distance from the origin represents how far the ship is from its starting point, while the angle represents the direction it's facing.
Cartesian Coordinates: A system that uses x and y coordinates to represent points on a plane.
Parametric Equations: Equations that express variables in terms of one or more parameters.
Converting between Coordinate Systems: The process of transforming points between different coordinate systems, such as converting polar coordinates to Cartesian coordinates.
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