MathPlotAI Logo MathPlotAI

Sine of an Angle, Half Chord, and Vertical Projection

Sine of an Angle, Half Chord, and Vertical Projection
Loading the math board and drawing, please wait…
2017-11-27 00:23
CircleVectorTrigonometryGeometric Construction
This example demonstrates the relationship between the sine of an angle, the length of the half chord, and the vertical projection. It involves core mathematical concepts such as trigonometric functions, properties of circles, and geometric relationships in right triangles. The construction uses commands like Vector, Arc, Segment, OrthogonalLine, and Intersect in GeoGebra. Suitable for high school mathematics teaching to understand the definition and geometric application of trigonometric functions.

GeoGebra Commands & Parameters

  1. Vector(O, A) → u
  2. Arc(c, D, A) → d
  3. Segment(O, D) → f
  4. OrthogonalLine(A, Line[O, D]) → g
  5. Intersect(g, Line[O, D]) → M
  6. Segment(A, M) → h
  7. Segment(O, (0, s)) → i