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Unit Circle by Michelle

Unit Circle by Michelle
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2018-05-02 04:14
CircleTrigonometryGeometric Construction
This example demonstrates the unit circle, a circle with a radius of 1 that is crucial in trigonometry. By constructing a circle, points, and tangents, it visually illustrates the relationship between points on the unit circle, angles, and sine and cosine values. Commands used include Circle, Point, OrthogonalLine, Line, Angle, and Distance. Suitable for high school trigonometry education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Segment(A, B) → f
  3. Circle(A, f) → c
  4. Point(c) → C
  5. OrthogonalLine(C, f) → g
  6. Line(C, f) → h
  7. Segment(C, A) → i
  8. Intersect(h, yAxis) → D
  9. Intersect(g, f) → E
  10. OrthogonalLine(C, xAxis) → j
  11. Intersect(j, xAxis) → F
  12. Angle(B, A, C) → α
  13. Segment(C, D) → k
  14. Segment(C, E) → l
  15. Segment(E, A) → m
  16. Segment(F, C) → n
  17. Angle(C, A, B) → β
  18. Distance(B, C) → distanceBC