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Unit Circle with Tau

Unit Circle with Tau
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2015-06-21 00:51
CircleTrigonometryGeometric Construction
This example demonstrates the unit circle and its relationship with tau (τ). Key mathematical concepts include the properties of a circle and the definition of tau. Using the Circle and Segment commands, the unit circle is constructed and its characteristics are illustrated. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Segment((0.8660254037844387, 0.49999999999999994), (-0.8660254037844388, -0.4999999999999997)) → a
  3. Segment((0.7071067811865476, 0.7071067811865475), (-0.7071067811865477, -0.7071067811865475)) → b
  4. Segment((0.5000000000000001, 0.8660254037844386), (-0.5000000000000004, -0.8660254037844385)) → d
  5. Segment((-0.8660254037844385, 0.5000000000000003), (0.8660254037844384, -0.5000000000000004)) → e
  6. Segment((-0.4999999999999998, 0.8660254037844387), (0.49999999999999933, -0.866025403784439)) → f
  7. Segment((-0.7071067811865475, 0.7071067811865476), (0.7071067811865474, -0.7071067811865477)) → g
  8. Segment((0, 1), (0, -1)) → h
  9. Segment((1, 0), (-1, 0)) → i