Polar Coordinates

Polar coordinates are used in the same way as rectangular coordinates. They can both be used to specify the same point on a graph. Polar coordinates are different from rectangular coordinates because they use the distance from the origin and the angle from the positive x-axis to define the point.

Polar Coordinates are represented by (r,θ) where as rectangular coordinates are represented by (x,y). The polar coordinates can be found by using the following formulas:

         r = (x^2 + y^2)^.5           θ = tan^-1(y/x)

Likewise we are able to compute the rectangular coordinates given the polar coordinates in the following way:

         x = r*cos(θ)                 y = r*sin(θ)

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Abstract algebra continues the conceptual developments of linear algebra, on an even grander scale.

Dr. Paul Garrett