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Unit circle and trig ratios (version 2)

Unit circle and trig ratios (version 2)
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2015-05-31 19:50
CircleTrigonometryCoordinate Geometry
This example demonstrates the relationship between points on the unit circle and trigonometric ratios. Key mathematical concepts include trigonometry, unit circle, and coordinate geometry. Construction involves GeoGebra commands such as Intersect, Point, Circle, etc. Suitable for high school students or math enthusiasts.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → D
  3. Point(xAxis) → B_1
  4. Circle(A, B_1) → c
  5. Point(c) → C
  6. Angle(D, A, C) → γ
  7. OrthogonalLine(C, xAxis) → a
  8. Intersect(a, xAxis) → B
  9. Angle(B, A, C) → β
  10. Segment(A, B) → b
  11. Segment(A, C) → d
  12. Angle(C, B, A) → α
  13. Segment(B, C) → f
  14. Segment(A, D) → g

AI Drawing Prompt Reference

Draw a unit circle and mark a point C on it. Connect the center A to point C to form angle γ. Draw a line a perpendicular to the x-axis, intersecting it at point B to form angle β. Connect points A and B, A and C, B and C, and A to the x-axis at point D. Finally, draw segments AB, AC, BC, and AD.
The prompt above was compiled from the original drawing commands and is for reference only.