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Complex Numbers - Polar to Cartesian Coordinates

Complex Numbers - Polar to Cartesian Coordinates
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2013-10-03 23:00
TrigonometryCoordinate GeometryComplex Number
This example demonstrates the conversion of complex numbers from polar to Cartesian coordinates. Key mathematical concepts include complex numbers, polar coordinates, and Cartesian coordinates. Using commands like Rotate, Angle, and Trigonometric functions, the geometric representation of complex numbers is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(Circle[A, abs(r_1)]) → B
  3. Segment(A, B) → b_2
  4. Rotate(A, a_1 * π, A) → A'
  5. Rotate(B, a_1 * π, A) → B'
  6. Segment(A', B') → r
  7. Angle(b_2, r) → θ
  8. OrthogonalLine(z, xAxis) → c
  9. Intersect(c, xAxis) → C
  10. Segment(z, C) → b
  11. Intersect(b_2, r) → D
  12. Segment(C, D) → a