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Trigonometric Functions on Unit Circle (1)

Trigonometric Functions on Unit Circle (1)
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2020-03-02 13:47
CircleFunctionTrigonometry
This example demonstrates the relationship of trigonometric functions on the unit circle. Key mathematical concepts include trigonometric functions, unit circle, and similar triangles. By constructing a circle, points, line segments, angles, etc., it illustrates the definition and properties of trigonometric functions. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle(A, 10) → c
  2. Point(c) → B
  3. Segment(A, B) → f
  4. Line(A, (10, 0)) → g
  5. Angle(g, f) → θ
  6. OrthogonalLine(A, g) → h
  7. OrthogonalLine(B, g) → i
  8. Intersect(g, i) → C
  9. Segment(B, C) → j
  10. OrthogonalLine(B, f) → l
  11. Intersect(g, l) → D
  12. Segment(B, D) → m
  13. Intersect(h, l) → E
  14. Segment(E, B) → n
  15. Segment(E, A) → p
  16. OrthogonalLine(B, p) → q
  17. Intersect(h, q) → F
  18. Segment(F, B) → r
  19. Segment(A, D) → k

AI Drawing Prompt Reference

Draw a unit circle and mark a point B on it, then draw a line segment from the center A to B. Draw a horizontal line g through A, construct angle θ, then draw two perpendicular lines h and i to g, intersecting g at points C and D respectively. Draw line segments BC and BD, then draw a line l perpendicular to BC, intersecting g at D. Draw a line m perpendicular to BD, intersecting h at E. Draw line segments BE and EA, then draw a line q perpendicular to BE, intersecting h at F.
The prompt above was compiled from the original drawing commands and is for reference only.