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Imaginary Component of z^(1/3)

Imaginary Component of z^(1/3)
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2019-03-19 20:21
FunctionCoordinate GeometryComplex Number
In collections Complex Analysis: A visual and interactive introduction
This example demonstrates the imaginary component of the cube root of a complex number. Key mathematical concepts include complex numbers, cube roots, and imaginary parts. Using GeoGebra commands such as Surface, Plane, Re, and Im, the distribution of the cube root of a complex number in the complex plane is dynamically displayed. Suitable for high school mathematics education and learning complex number concepts.

GeoGebra Commands & Parameters

  1. SelectedIndex(ListBranches) → index
  2. Plane(xAxis, yAxis) → planeC
  3. Surface((u * cos(v)), (u * sin(v)), Im((u * cos(v)), (u * sin(v)), 3, 0), u, 0, 2, v, (-π), π - π / 1000) → C0
  4. Surface((u * cos(v)), (u * sin(v)), Im((u * cos(v)), (u * sin(v)), 3, 1), u, 0, 2, v, (-π), π - π / 1000) → C1
  5. Surface((u * cos(v)), (u * sin(v)), Im((u * cos(v)), (u * sin(v)), 3, 2), u, 0, 2, v, (-π), π - π / 1000) → C2