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Unit Circle - Identifying Coordinates for Important Angles

Unit Circle - Identifying Coordinates for Important Angles
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2012-01-26 18:17
CircleAngleFunctionTrigonometryCoordinate Geometry
This example demonstrates how to explore the coordinates of points on the unit circle at angles that are integral multiples of π/2, 3π/4, π/6, etc. Core math concepts include the unit circle, coordinates, trigonometric functions, and coordinate geometry. It uses GeoGebra commands like Circle, Point, Segment, Intersect, and Angle. Suitable for high school students learning trigonometry and coordinate geometry.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Point(c) → C
  3. Point(c) → D
  4. Point(c) → E
  5. Point(c) → F
  6. Point(c) → G
  7. Point(c) → H
  8. Point(c) → I
  9. Segment(H, D) → a
  10. Segment(F, B) → b
  11. Point(c) → J
  12. Point(c) → K
  13. Point(c) → L
  14. Point(c) → M
  15. Point(c) → N
  16. Point(c) → O
  17. Point(c) → P
  18. Point(c) → Q
  19. Intersect(a, b) → R
  20. Segment(R, C) → d
  21. Segment(R, N) → e
  22. Segment(R, J) → f
  23. Segment(R, K) → g
  24. Segment(R, O) → h
  25. Segment(R, E) → i
  26. Segment(R, L) → j
  27. Segment(R, P) → k
  28. Segment(R, G) → l
  29. Segment(R, M) → m
  30. Segment(R, Q) → n
  31. Segment(R, I) → p
  32. Point(c) → S
  33. Segment(R, S) → q
  34. Angle(B, R, S) → α