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Sine and Cosine on Unit Circle - Mobile Friendly

Sine and Cosine on Unit Circle - Mobile Friendly
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2016-03-30 17:21
CircleTrigonometryCoordinate Geometry
This applet demonstrates the sine and cosine functions on the unit circle. Key mathematical concepts include trigonometry and the unit circle. Using GeoGebra commands such as Point, Circle, OrthogonalLine, Intersect, etc., dynamic sine and cosine curves are constructed. Suitable for high school math 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