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Polar Coordinates Example 1

Polar Coordinates Example 1
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2017-05-11 03:34
TrigonometryCoordinate GeometryGeometric Construction
In collections Visualization of limits of functions of two variables
This example demonstrates how to plot graphs using polar coordinates, involving core math concepts like polar coordinates, trigonometry, and similarity. It constructs using GeoGebra objects f (function), r (radius), a (angle), and b (parameter), suitable for high school mathematics learning and exploration of polar coordinate applications.

GeoGebra Commands & Parameters

  1. f(x, y) = ((2 * x) * y / (x^(2) + y^(2)))
  2. Numeric r(1.5)
  3. a(x, y) = x^(2) + y^(2) ≤ r^(2)
  4. b(x, y) = If[x^(2) + y^(2) ≤ r^(2), f(x, y)]