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Trigonometric Ratios Demo by Nathan Van Nuys

Trigonometric Ratios Demo by Nathan Van Nuys
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2018-01-29 22:06
AngleTrigonometryGeometric Construction
This example demonstrates the fundamental concepts of trigonometric functions (sine, cosine, tangent) within a right triangle. It involves core mathematical concepts such as trigonometric definitions, angle measurement, and geometric properties of right triangles. The construction utilizes GeoGebra commands/objects like Segment, OrthogonalLine, Rotate, Angle, Ray, and Intersect. Suitable for high school mathematics instruction or student exploration of trigonometric properties.

GeoGebra Commands & Parameters

  1. Segment(A, B) → f
  2. OrthogonalLine(B, f) → g
  3. Rotate(B, α, A) → B'
  4. Angle(B, A, B') → β
  5. Ray(A, B') → h
  6. Intersect(g, h) → C
  7. Segment(A, C) → i
  8. Segment(B, C) → j
  9. Angle(A, B, C) → γ