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Trigonometric Ratios Demo by Pat Hubeny

Trigonometric Ratios Demo by Pat Hubeny
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2015-03-19 01:45
TriangleTrigonometryGeometric Construction
This example demonstrates the definitions of trigonometric ratios (sine, cosine, tangent) in a right triangle. It involves core concepts like right triangles, side relationships, and trigonometric functions. Construction uses commands such as Ray, Point, Segment, OrthogonalLine, Polygon, Angle, Distance. Suitable for high school mathematics teaching and understanding the geometric meaning of trigonometric functions.

GeoGebra Commands & Parameters

  1. Ray(B, B_1) → a_1
  2. Point(a_1) → A
  3. Segment(A, B) → adjacent
  4. OrthogonalLine(B, adjacent) → c_2
  5. Point(c_2) → D
  6. Ray(B, D) → d
  7. Point(d) → C
  8. Polygon(C, A, B) → poly1, hypotenuse, e, opposite
  9. Angle(B, A, C) → α
  10. Angle(A, C, B) → β
  11. Angle(C, B, A) → γ
  12. Distance(adjacent, opposite) → a

AI Drawing Prompt Reference

Draw a right triangle with one leg and the hypotenuse labeled. From the right angle vertex, draw a perpendicular line to the hypotenuse, creating a smaller triangle. Measure and label the angles and the lengths of the legs to demonstrate the trigonometric ratio definitions.
The prompt above was compiled from the original drawing commands and is for reference only.