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Trigonometric Ratios Demonstration

Trigonometric Ratios Demonstration
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2017-09-18 14:10
AngleVectorTrigonometryCoordinate GeometryGeometric Construction
This example dynamically demonstrates the relationships between side lengths and angles in a right triangle, focusing on trigonometric ratios (sine, cosine, tangent). It involves core concepts like right triangles, angle measurement, and trigonometric functions. The construction uses GeoGebra commands such as Ray, OrthogonalLine, Point, Rotate, Angle, Intersect, and Polygon. Ideal for high school mathematics education to visually explain trigonometric definitions and properties.

GeoGebra Commands & Parameters

  1. Ray(A, B) → f
  2. OrthogonalLine(A, f) → g
  3. Point(g) → C
  4. Ray(A, C) → h
  5. Point(h) → D
  6. Rotate(A, θ, D) → A'
  7. Angle(A, D, A') → β
  8. Ray(D, A') → i
  9. Intersect(f, i) → E
  10. Polygon(E, A, D) → t1, d, e, a
  11. Angle(E, A, D) → γ