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Trigonometric Ratios Demo by McKendry Marano

Trigonometric Ratios Demo by McKendry Marano
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2018-04-16 20:22
TrigonometryGeometric Construction
This example demonstrates how changing the angle and side lengths of a right triangle affects the trigonometric ratios (sine, cosine, tangent). It involves core concepts like trigonometric functions, right triangles, and side-angle relationships. Constructed using GeoGebra commands such as Intersect, Circle, Tangent, Rotate, Angle, Ray, and Segment. Ideal for high school mathematics instruction to visually understand the definitions and dynamic behavior of trigonometric functions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, B) → c
  3. Tangent(B, c) → b,
  4. Rotate(B, α, A) → A'
  5. Angle(B, A, A') → β
  6. Ray(A, A') → d
  7. Intersect(b, d) → C
  8. Segment(A, B) → Adjacent
  9. Segment(B, C) → Opposite
  10. Segment(A, C) → Hypotenuse
  11. Angle(C, B, A) → γ