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Exploring Trigonometric Ratios by Ella Sayin

Exploring Trigonometric Ratios by Ella Sayin
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2016-03-08 02:47
FunctionTrigonometryGeometric Construction
This example demonstrates the concept of trigonometric ratios through geometric shapes. It involves core mathematical concepts of trigonometry, using right triangles to define sine, cosine, and tangent. GeoGebra commands such as Line, OrthogonalLine, Angle, Point, and Polygon are utilized, suitable for students at the middle school level and above.

GeoGebra Commands & Parameters

  1. Line(A, B) → h
  2. OrthogonalLine(A, h) → i
  3. Angle(h, i) → α
  4. Point(i) → C
  5. Angle(C, B, A) → β
  6. Polygon(C, B, A) → poly1, Hypotenuse, Adjecent, Opposite
  7. Name(Adjecent) → A1
  8. Name(Hypotenuse) → B1
  9. Name(Opposite) → C1
  10. Angle(A, C, B) → γ