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Continued Exploration of Sine vs Cosine in a Right Triangle

Continued Exploration of Sine vs Cosine in a Right Triangle
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2018-12-02 00:54
AngleTrigonometryGeometric Construction
This example demonstrates the relationship between sine and cosine in a right triangle. It involves core math concepts like trigonometric functions, angles, and side length relationships. The construction uses GeoGebra commands/objects such as Rotate, Angle, Ray, Intersect, and Segment. Suitable for high school students learning trigonometry and geometric constructions.

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