MathPlotAI Logo MathPlotAI

Cotangent Using Similar Triangles

Cotangent Using Similar Triangles
Loading the math board and drawing, please wait…
2017-06-26 03:54
TriangleTrigonometryGeometric Construction
This example demonstrates the concept of cotangent using similar triangles. It involves the trigonometric function cotangent and constructs similar triangles to illustrate its definition. GeoGebra commands used include Point, Segment, Vector, and Text, suitable for middle school and above students learning trigonometry.

GeoGebra Commands & Parameters

  1. Point(xAxis) → A
  2. Point(Ray[A, A + (0, 1)]) → C
  3. Segment(O, A) → adj
  4. Segment(O, C) → hyp
  5. Segment(C, A) → opp
  6. Segment(O - (0, 1), O - (0, 3)) → tick2
  7. Vector(O - (0, 2), A - (0, 2)) → u
  8. Segment(A - (0, 1), A - (0, 3)) → tick1
  9. Text(adj, (adj / 2, -3)) → text1
  10. Point(adj) → B
  11. Segment(O, B) → b
  12. Segment(B, (x(B), (opp / adj * x(B)))) → h