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  1. Polar and Cartesian Coordinates - Math is Fun

    When we know a point in Cartesian Coordinates (x,y) and we want it in Polar Coordinates (r,θ) we solve a right triangle with two known sides.

    Math is Fun

    When we know a point in Polar Coordinates (r, θ), and we want it in Cartesian Coordinates (x,y) we solve a right triangle with a known long side and angle:

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    Four Quadrants

    When we include negative values, the x and y axes divide the space up into 4 pieces: Quadrants I, II, III andIV (They are numbered in a counter-clockwise direction) When converting from Polar to Cartesiancoordinates it all works out nicely: But when converting from Cartesian to Polarcoordinates ... ... the calculator can give the wrong value of tan-1 It all depends what Quadrant the point is in! Use this to fix things: (Yes, both Quadrant's II and III are "Add 180°")

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