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Exploring Trigonometric Ratios by David Boudreaux

Exploring Trigonometric Ratios by David Boudreaux
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2017-11-05 07:19
AngleTrigonometryGeometric Construction
This example uses dynamic geometry tools to explore trigonometric ratios. It demonstrates the sine, cosine, and tangent relationships in a triangle. GeoGebra commands such as Ray, Point, Segment, and Angle are used to construct the triangle and measure angles. Suitable for middle school and above students to learn basic concepts of trigonometric functions.

GeoGebra Commands & Parameters

  1. Ray(B, B_1) → a_1
  2. Point(a_1) → A
  3. Segment(A, B) → c
  4. OrthogonalLine(B, c) → c_2
  5. Point(c_2) → D
  6. Ray(B, D) → d
  7. Point(d) → C
  8. Polygon(C, A, B) → poly1, b, e, a
  9. Angle(B, A, C) → α
  10. Angle(A, C, B) → β
  11. Angle(C, B, A) → γ