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Obtuse Angles and the Unit Circle

Obtuse Angles and the Unit Circle
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2018-06-04 17:45
CircleAngleTrigonometry
This example demonstrates the concept of obtuse angles using the unit circle. It involves key mathematical concepts such as angles, circles, and trigonometry. Using GeoGebra commands like Intersect, Circle, and Rotate, it dynamically shows the rotation of angles and their corresponding points on the unit circle. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(c, xAxis, 2) → B
  4. Rotate(B, θ, A) → B'
  5. Angle(B, A, B') → α
  6. Segment(A, B') → b
  7. OrthogonalLine(B', xAxis) → d
  8. OrthogonalLine(B', xAxis) → a
  9. Intersect(a, xAxis) → C
  10. Segment(A, C) → e
  11. Segment(C, B) → f
  12. Segment(B', C) → g
  13. CircleArc(A, B, B') → k
  14. Tangent(B, c) → m,
  15. Point(e) → D
  16. Point(m) → F
  17. Line(B', D) → n
  18. Intersect(m, n) → E
  19. Segment(D, E) → p
  20. Segment(F, E) → q
  21. Segment(F, E) → r
  22. Point(xAxis) → G
  23. Semicircle(G, F) → s