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Exploring Trigonometric Ratios by Daniel Rodriguez-Clark

Exploring Trigonometric Ratios by Daniel Rodriguez-Clark
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2017-02-06 03:11
AngleTrigonometryGeometric Construction
This example uses dynamic geometry tools to explore the concept of trigonometric ratios. It demonstrates how to understand basic trigonometric functions like sine, cosine, and tangent by constructing right triangles. Using GeoGebra commands such as Line, Point, Segment, etc., users can observe the effects of angle changes on trigonometric ratios. Suitable for students at the middle school level and above to learn the basic properties of trigonometric functions.

GeoGebra Commands & Parameters

  1. Line(A, B) → a
  2. Point(a) → C
  3. OrthogonalLine(C, a) → b
  4. Point(a) → D
  5. Segment(D, C) → f
  6. Midpoint(f) → H
  7. Angle(C, D, C') → α
  8. Line(D, C') → c
  9. Intersect(c, b) → E
  10. Segment(D, E) → d
  11. Segment(C, E) → e
  12. Midpoint(d) → F
  13. Midpoint(e) → G
  14. Text(d + "cm", (x(F) - 2, y(F))) → text3
  15. Text(e + "cm", G) → text4
  16. Text(α, (x(D) + 1, y(D))) → text5