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Unformatted text preview: UNIT 3: Polar Coordinates Review e po ar coordinate system is an alternate way of identifying points in the plane. In this system, a point P is represented by a coordinate pair ( r , ) , where r denotes the distance from the point to the origin (or, the length of the segment OP ), and is the angle OP makes with the positive x-axis, as measured counterclockwise from the x-axis. If we have a point in polar coordinates, and we want to write that same point in rectangular coordinates, the conversion formulas are: x = r cos y = r sin It is slightly more di cult to convert the other way aroundfrom rectangular coordinates to polar coordinates. e conversion formulas are: r = x + y tan = y x but we have to be careful about observing that we choose the angle to be in the correct quadrant. Converting equations We can use the same formulas to convert equations between polar and Cartesian form, though this is o en more di cult....
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