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The Unit Circle by Norm Prokup (5)

The Unit Circle by Norm Prokup (5)
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2016-06-17 06:25
CircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the construction of the unit circle and its relationship with trigonometric functions. Key math concepts include circle, trigonometry, angle, vector, etc. It uses commands/objects like Circle, Sequence, Point, Segment, Angle, Ray, CurveCartesian, Intersect in GeoGebra. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Sequence((cos(n°), sin(n°)), n, 0, 360, 1) → list1
  3. Point(list1) → C
  4. Segment(A, C) → i
  5. Angle(B, A, C) → β
  6. Angle(B, A, C) → α
  7. Ray(A, C) → f
  8. Point(h) → D
  9. Point(g) → E
  10. CurveCartesian((x(E) * cos(t)), (y(D) * sin(t)), t, 0, (2 * π)) → a
  11. Intersect(f, a) → F, G, F_1, F_2, F_3