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Trigonometric Functions on the Unit Circle

Trigonometric Functions on the Unit Circle
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2020-09-23 19:03
CircleFunctionTrigonometry
This example demonstrates the relationship between trigonometric functions and the unit circle. Using GeoGebra commands such as Circle, Point, Segment, Angle, etc., it dynamically shows the relationship between angles and trigonometric function values. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(A, E) → c
  2. Point(c) → B
  3. Segment(A, B) → f
  4. Point(c) → C
  5. Segment(A, C) → g
  6. Angle(B, A, C) → α
  7. Distance(C, A) → distanceCA
  8. Point(c) → F
  9. Segment(F, A) → i
  10. Line(H, I) → k
  11. OrthogonalLine(A, k) → l
  12. OrthogonalLine(C, f) → h
  13. Distance(C, f) → distanceCf
  14. Distance(A, h) → distanceAh

AI Drawing Prompt Reference

Draw a unit circle and mark a point A on it. Connect point A to the center to form a line segment. Draw a ray from the center that intersects the unit circle at point B. Mark point B and connect point A to point B. Measure the distance from point A to point B and mark it. Also, draw a line perpendicular to the unit circle and mark its intersection with the circle. Finally, show these points, line segments, and distances to illustrate the relationship between trigonometric functions and the unit circle.
The prompt above was compiled from the original drawing commands and is for reference only.