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Cube Roots of a Complex Number - With Sliders

Cube Roots of a Complex Number - With Sliders
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2014-04-17 00:10
FunctionComplex NumberGeometric Construction
In collections Roots of Complex Numbers
This example demonstrates the graphical representation of a complex number and its cube roots using sliders. It involves core concepts like complex number operations, cube roots, modulus, and argument. GeoGebra commands such as angle, modulus, and various objects are used to construct the visualization. Ideal for high school and above, helping learners understand the geometric interpretation of complex numbers and their roots.

GeoGebra Commands & Parameters

  1. Numeric angle(180.0)
  2. angle
  3. Boolean e(true)
  4. Numeric modulus(2.0)
  5. modulus
  6. Numeric p(3.0)
  7. k°
  8. (A + 0) / p
  9. (A + (2 * π)) / p
  10. (A + ((2 * π) * 2)) / p
  11. Boolean a(true)
  12. Boolean b(true)
  13. A_0 / °
  14. A_1 / °
  15. A_2 / °
  16. Boolean c(true)
  17. Boolean d(true)
  18. (R * ℯ^((ί * A)))
  19. abs(N)^(1 / p)
  20. (r * ℯ^((ί * A_0)))
  21. (r * ℯ^((ί * A_1)))
  22. (r * ℯ^((ί * A_2)))

AI Drawing Prompt Reference

Draw a complex number and its cube roots with sliders. Show the modulus and argument of the complex number, then use sliders to adjust parameters, calculate and plot the cube roots, displaying their moduli and arguments to illustrate complex operations and geometric interpretations.
The prompt above was compiled from the original drawing commands and is for reference only.