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Rectangular and Polar Coordinates Conversion

Rectangular and Polar Coordinates Conversion
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2018-10-21 00:54
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the conversion relationship and graphical representation between rectangular and polar coordinates. It involves core mathematical concepts such as coordinate transformation, trigonometric functions, distance formula, and angle measurement. GeoGebra commands and objects like Intersect, Segment, Length, Point, Line, OrthogonalLine, and Angle are used in the construction. Suitable for high school mathematics teaching and learning about coordinate system conversion.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → C
  2. Segment(C, A) → r
  3. Length(r) → r_1
  4. Point(xAxis) → C_1
  5. Line(C, C_1) → g
  6. OrthogonalLine(A, g) → h
  7. Angle(g, r) → θ
  8. Intersect(g, h) → D
  9. Segment(C, D) → X
  10. Segment(D, A) → Y