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Trigonometric Definitions in a Unit Circle

Trigonometric Definitions in a Unit Circle
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2019-10-21 11:06
CircleTrigonometry
This example demonstrates the geometric definitions of trigonometric functions using a unit circle. It covers basic trigonometric functions such as sine, cosine, and tangent. Using GeoGebra commands like Circle, Point, Segment, Angle, etc., it dynamically illustrates the properties of these functions. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. CircleArc(A, B, C) → d
  3. Point(d) → D
  4. Segment(A, D) → f
  5. Segment(D, E) → g
  6. Segment(E, A) → h
  7. Angle(D, E, A) → α
  8. Ray(A, D) → j
  9. Intersect(i, j) → F
  10. Segment(B, F) → k
  11. Segment(D, F) → l
  12. Angle(F, B, A) → β
  13. Angle(B, A, F) → θ
  14. Intersect(m, j) → G
  15. Segment(C, G) → n
  16. Segment(G, A) → p
  17. Angle(A, C, G) → γ
  18. Segment(A, F) → q
  19. Point(f) → H
  20. Intersect(d, n, 1) → I
  21. Segment(H, I) → r
  22. Segment(E, D) → s
  23. Segment(A, E) → t
  24. Segment(B, F) → f_1
  25. Segment(A, B) → g_1
  26. Segment(A, F) → h_1
  27. Segment(G, I) → i_1
  28. Segment(G, A) → j_1
  29. Segment(A, D) → k_1