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Sine vs Cosine Exploration in A Right Triangle

Sine vs Cosine Exploration in A Right Triangle
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2016-02-04 22:36
AngleFunctionTrigonometryGeometric ConstructionSlider Animation
This example demonstrates the relationship between sine and cosine in a right triangle. It involves core math concepts like sine, cosine, angles, and side length relationships. Constructed using GeoGebra commands such as Rotate, Angle, Ray, Intersect, and Segment. Suitable for middle school and above learners to understand basic trigonometric functions.

GeoGebra Commands & Parameters

  1. Rotate(A, -90°, B) → A'
  2. Angle(A', B, A) → α
  3. Rotate(B, AngleA, A) → B'
  4. Angle(B, A, B') → β
  5. Ray(B, A') → a
  6. Ray(A, B') → b
  7. Intersect(a, b) → C
  8. Segment(C, B) → c
  9. Segment(C, A) → d
  10. Segment(A, B) → e
  11. Angle(A, C, B) → γ