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Unit Circle Investigation 2

Unit Circle Investigation 2
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2017-09-20 09:32
CircleFunctionTrigonometryCoordinate GeometryProbability & Statistics
This example demonstrates the interaction between the unit circle and concepts such as linear regression, step functions, conditional probability, surfaces, and binomial distribution. It involves core mathematical concepts including the unit circle, linear regression, step functions, conditional probability, surfaces, and binomial distribution. The construction uses GeoGebra commands like Intersect, Circle, Segment, Point, Rotate, Angle, and OrthogonalLine. Suitable for high school students and mathematicians/researchers.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(c, xAxis, 1) → π1
  4. Intersect(c, xAxis, 2) → zero
  5. Segment(π1, zero) → a
  6. Intersect(c, yAxis, 2) → π2
  7. Intersect(c, yAxis, 1) → π3_2
  8. Segment(π2, π3_2) → b
  9. Point(c) → π6
  10. Rotate(zero, θ, A) → D'
  11. Angle(zero, A, D') → α
  12. Segment(A, D') → i
  13. OrthogonalLine(D', a) → j
  14. OrthogonalLine(D', b) → k
  15. Intersect(j, a) → Q
  16. Segment(A, Q) → l
  17. Segment(D', Q) → m
  18. Intersect(c, i, 1) → point
  19. Point(c) → π3
  20. Point(c) → π4
  21. Point(c) → π2_3
  22. Point(c) → π3_4
  23. Point(c) → π5_6
  24. Point(c) → π7_6
  25. Point(c) → π5_4
  26. Point(c) → π4_3
  27. Point(c) → π5_3
  28. Point(c) → π7_4
  29. Point(c) → π11_6
  30. Segment(π2_3, π3) → n
  31. Segment(π3_4, π4) → p
  32. Segment(π5_6, π6) → q
  33. Segment(π7_6, π11_6) → r
  34. Segment(π5_4, π7_4) → s
  35. Segment(π4_3, π5_3) → t
  36. Segment(π6, π11_6) → a_1
  37. Segment(π3, π5_3) → c_1
  38. Segment(π2_3, π4_3) → d_1
  39. Segment(π3_4, π5_4) → e_1
  40. Segment(π5_6, π7_6) → f_1