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Exploring Trigonometric Ratios by Brittany Wilson

Exploring Trigonometric Ratios by Brittany Wilson
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2016-02-10 05:23
AngleTrigonometryGeometric Construction
This example uses geometric construction to help students explore the ratio relationships in trigonometry. Key mathematical concepts include the relationships between trigonometric functions, angles, and side lengths. Using commands like Segment, OrthogonalLine, and Rotate, students can visually understand the definitions and properties of trigonometric functions. Suitable for middle school and above students to learn basic trigonometric concepts.

GeoGebra Commands & Parameters

  1. Segment(B, B_1) → a
  2. OrthogonalLine(B, a) → b
  3. Rotate(B_1, 90°, B) → A
  4. Angle(B_1, B, A) → α
  5. Rotate(B, 73°, A) → A'
  6. Angle(B, A, A') → β
  7. Line(B, B_1) → c
  8. Line(A, A') → d
  9. Intersect(c, d) → C
  10. Polygon(C, B, A) → poly1, b', c_1, a_1
  11. Angle(A, C, B) → γ
  12. Distance(A, B) → distanceB'A
  13. Distance(B, C) → distanceAC
  14. Distance(C, A) → distanceCB'