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Basic Trigonometric Ratios

Basic Trigonometric Ratios
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2018-09-02 12:22
AngleTrigonometryGeometric Construction
This example demonstrates the basic concepts of trigonometric ratios. By constructing a circle and angles, it illustrates the definitions of sine, cosine, and tangent. Using GeoGebra commands such as Intersect, Point, CircleSector, etc., it helps students understand the fundamental properties of trigonometric functions. Suitable for students in middle school and above.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Point(yAxis) → C
  4. CircleSector(A, B, C) → c
  5. Segment(A, B) → b
  6. Rotate(B, α, A) → B'
  7. Angle(B, A, B') → β
  8. Line(B', yAxis) → a
  9. Segment(B', A) → d
  10. Intersect(c, a, 1) → D
  11. Segment(A, B) → e
  12. Intersect(a, b) → E
  13. Segment(B', E) → f
  14. Segment(A, E) → g
  15. Angle(D, E, A) → γ
  16. Angle(A, D, E) → δ
  17. Circumference(c) → h
  18. Distance(f, d) → i
  19. Circumference(c) → j
  20. Circumference(c) → k
  21. Distance(A, E) → distanceAE

AI Drawing Prompt Reference

Draw a coordinate system with x and y axes, pick points on them, create a sector with the origin as the vertex, rotate the sector around a point on the x-axis to form a new point, connect these points to create a triangle and lines, find the intersection of the sector and a line, measure relevant angles and segment lengths to illustrate basic trigonometric concepts.
The prompt above was compiled from the original drawing commands and is for reference only.