MathPlotAI Logo MathPlotAI

Derivation of Trigonometric Ratios

Derivation of Trigonometric Ratios
Loading the math board and drawing, please wait…
2017-11-27 02:17
TrigonometryCoordinate GeometryGeometric Construction
This example demonstrates the geometric derivation of trigonometric ratios (sine, cosine) using a right triangle. Key math concepts include trigonometric ratios, coordinate geometry, right triangles, hypotenuse, adjacent side, opposite side relationships. Constructed with GeoGebra commands like Ray, Point, OrthogonalLine, Intersect, Segment, Angle, Curve. Suitable for high school mathematics teaching or self-learning to understand the geometric basis of trigonometric function definitions.

GeoGebra Commands & Parameters

  1. Ray(A, B) → f
  2. Point(f) → C
  3. OrthogonalLine(C, f) → g
  4. Ray(A, D) → h
  5. Intersect(g, h) → E
  6. Segment(E, C) → i
  7. Segment(C, A) → j
  8. Angle(C, A, E) → α
  9. Segment(A, E) → k
  10. Angle(E, C, A) → β