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Trigonometric Ratios by Renee Wells

Trigonometric Ratios by Renee Wells
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2017-09-12 11:12
AngleTrigonometryGeometric Construction
This example demonstrates the ratio relationships in trigonometry, involving sine, cosine, and tangent. Using commands like Rotate, Angle, and Segment from the construction summary, it clearly shows the relationships between side lengths and angles in a triangle. Suitable for middle school and above students to learn basic concepts and applications of trigonometric functions.

GeoGebra Commands & Parameters

  1. Rotate(B, 30*°, A) → B'
  2. Angle(B, A, B') → α
  3. Segment(A, B) → Adjacent
  4. Segment(A, B') → b
  5. OrthogonalLine(B, Adjacent) → c
  6. Ray(A, B') → d
  7. Intersect(c, d) → C
  8. Segment(A, C) → Hypotenuse
  9. Segment(C, B) → Opposite
  10. Distance(Opposite, Hypotenuse) → g
  11. Angle(C, B, A) → β