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Sine and Cosine on the Unit Circle

Sine and Cosine on the Unit Circle
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2016-03-29 21:33
CircleTrigonometryGeometric Construction
This example demonstrates the sine and cosine functions on the unit circle. Key mathematical concepts include trigonometry, unit circle, and angles. Using GeoGebra commands such as Point, Circle, Intersect, etc., it dynamically illustrates the changes in sine and cosine values. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Circle(A, 1) → c
  3. OrthogonalLine(P, xAxis) → d
  4. Intersect(d, xAxis) → C
  5. Segment(C, P) → e
  6. Point(z) → B
  7. Segment(B, C) → f
  8. Point(e) → D
  9. Point(f) → E
  10. Rotate(C, α, B) → C'
  11. Point(z) → F
  12. Segment(F, P) → g
  13. Line(F, P) → h
  14. Intersect(e, f) → G
  15. Line(F, G) → i
  16. Point(f) → H
  17. Point(f) → I
  18. Point(z) → J
  19. CircleSector(H, I, J) → k
  20. Point(f) → K
  21. Point(xAxis) → L
  22. Point(z) → M
  23. CircleSector(K, L, M) → p