Complex Roots by Wendy Fresh (2)

Complex Roots by Wendy Fresh (2)
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2017-11-28 08:54
This example demonstrates the concept of complex roots, involving the trigonometric representation of complex numbers and parametric equations. Using GeoGebra commands such as Point and Rotate, the construction of complex roots is illustrated. Suitable for high school mathematics education and learning about complex numbers.

GeoGebra Commands & Parameters

  1. Point(yAxis) → A
  2. Rotate(z_1, (360 * ° / n), A) → z_2
  3. Rotate(z_2, (360 * ° / n), A) → z_3
  4. Rotate(z_3, (360 * ° / n), A) → z_4
  5. Rotate(z_4, (360 * ° / n), A) → z_5
  6. Rotate(z_5, (360 * ° / n), A) → z_6
  7. Rotate(z_6, (360 * ° / n), A) → z_7
  8. Rotate(z_7, (360 * ° / n), A) → z_8
  9. Rotate(z_8, (360 * ° / n), A) → z_{9}
  10. Rotate(z_{9}, (360 * ° / n), A) → z_{10}