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Exploring Trigonometric Ratios by shanlee

Exploring Trigonometric Ratios by shanlee
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2019-02-10 07:40
AngleTrigonometryGeometric Construction
Change the angle and the size of the triangle to investigate the effect on the trigonometric ratios. This example covers the core concepts of trigonometry and uses GeoGebra commands such as rotation, angle, and line segment for construction. Suitable for middle school and above students or teachers to understand the basic properties of trigonometric functions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → β
  5. Line(B', A) → a
  6. OrthogonalLine(B, xAxis) → b
  7. Intersect(a, b) → C
  8. Segment(A, B) → c
  9. Segment(B, C) → d
  10. Segment(C, A) → e
  11. Angle(C, B, A) → γ

AI Drawing Prompt Reference

Draw a triangle with point A on the x-axis and point B on the x-axis. Rotate point B to get point B'. Measure angle β. Draw line segment a from B' to A, and draw a perpendicular line segment b from B to the x-axis. Find intersection point C of a and b. Draw segment c from A to B, segment d from B to C, and segment e from C to A. Measure angle γ.
The prompt above was compiled from the original drawing commands and is for reference only.