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Trig Ratios and Identities Demo by Philip Collett

Trig Ratios and Identities Demo by Philip Collett
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2014-11-24 14:36
CircleVectorTrigonometryGeometric Construction
This example demonstrates trigonometric ratios and identities. It involves core math concepts like trigonometry, circle, vector operations, and geometric transformations. Constructed using GeoGebra commands such as Vector, Angle, Circle, Polygon. Suitable for high school mathematics teaching and geometric construction learning.

GeoGebra Commands & Parameters

  1. Vector(A_x, A) → v
  2. If(surd, SurdText[yval], Text[yval]) → ytext
  3. If(surd, SurdText[xval], Text[xval]) → xtext
  4. Intersect(xAxis, yAxis) → O
  5. Segment(O, A) → a
  6. Segment(O, A_x) → χ
  7. Segment(A_x, A) → γ
  8. Angle(xAxis, a) → β
  9. Point(a) → C
  10. Circle(C, A) → c
  11. Length(a) → r
  12. Midpoint(a) → mp
  13. Corner(1, 1) → Cnr1
  14. Corner(1, 2) → Cnr2
  15. Corner(1, 3) → Cnr3
  16. Corner(1, 4) → Cnr4
  17. Polygon(CN1, CN2, CN3, CN4) → Panel, cn1, cn2, cn3, cn4

AI Drawing Prompt Reference

Draw a circle centered at the origin with a point A on it. Connect the origin to A to form a line segment. Mark four points on the circle to form a rectangle. Place a center point inside the rectangle. The overall shape illustrates basic trigonometric and geometric construction concepts.
The prompt above was compiled from the original drawing commands and is for reference only.