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Double Angle Formula from Unit Circle

Double Angle Formula from Unit Circle
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2017-08-30 09:49
CircleAngleTrigonometry
This example demonstrates the double angle formula using the unit circle. Key mathematical concepts include trigonometry and angle relationships. It utilizes GeoGebra commands such as Circle, Point, Line, Segment, Angle, OrthogonalLine, and Intersect. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(A, 1) → c
  2. Point(c) → B
  3. Line(A, B) → a
  4. Point(c) → C
  5. Segment(A, C) → b
  6. Angle(a, b) → α
  7. OrthogonalLine(C, a) → d
  8. Intersect(c, d, 2) → D
  9. Segment(A, D) → e
  10. OrthogonalLine(C, e) → f
  11. Segment(C, D) → g
  12. Intersect(f, e) → E
  13. Segment(C, E) → h
  14. Angle(e, a) → β
  15. Segment(A, E) → i