Polar Coordinates Conversion Chart

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Polar Coordinates Conversion Chart

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Polar Coordinates Conversion Chart

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Converting To convert from one to the other we will use this triangle To Convert from Cartesian to Polar When we know a point in Cartesian Coordinates x y and we want it in Polar Coordinates r we solve a right triangle with two known sides Example What is 12 5 in Polar Coordinates The function f is geometrically interpreted as a curve in the plane in two ways first as its graph y f x in rectangular Cartesian coordinates as the locus of points x f x and second as its graph r f in polar coordinates as the locus of rectangular points r cos r sin In polar coordinates there is literally an infinite number of coordinates for a given point For instance the following four points are all coordinates for the same point 5 3 5 5 3 5 4 3 5 2 3 5 3 5 5 3 5 4 3 5 2 3 Here is a sketch of the angles used in these four sets of coordinates