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Trigonometric Ratios Demo by Michael Gillespie

Trigonometric Ratios Demo by Michael Gillespie
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2017-05-01 05:43
AngleTrigonometryGeometric Construction
This example demonstrates the calculation and visualization of trigonometric ratios (sine, cosine, tangent) within right-angled triangles. It involves core math concepts like the definition of trigonometric functions, side length ratios in right triangles, and angle measurement. The construction uses commands such as Rotate, Angle, Line, Point, and Polygon in GeoGebra to build a dynamic triangle and illustrate functional relationships. Suitable for high school mathematics teaching to understand basic properties and practical applications of trigonometric functions.

GeoGebra Commands & Parameters

  1. Rotate(B_1, 90°, C) → B'
  2. Angle(B_1, C, B') → α
  3. Line(C, B') → g
  4. Line(C, B_1) → f
  5. Point(g) → A
  6. Point(f) → B
  7. Polygon(C, A, B) → poly1, b, c, a
  8. Angle(C, A, B) → β
  9. Angle(A, B, C) → γ