MathPlotAI Logo MathPlotAI

Cosine Function by JM Arranz, JA Mora, M Sada y R Losada

Cosine Function by JM Arranz, JA Mora, M Sada y R Losada
Loading the math board and drawing, please wait…
2023-03-14 04:19
FunctionTrigonometryGraphing
In collections geometriadinamica.es
This example demonstrates the graph of the cosine function. It involves the core mathematical concept of trigonometric functions. Using GeoGebra commands such as Point, OrthogonalLine, Segment, Intersect, etc., the graph of the cosine function is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Point(yAxis) → B
  2. OrthogonalLine(B, yAxis) → f
  3. Point(f) → C
  4. Point(f) → D
  5. Segment(C, D) → g
  6. Point(g) → E
  7. Intersect(xAxis, yAxis) → O
  8. Rotate(A, ang, O) → P
  9. Circle((0, 0), 1) → c
  10. Angle(AA, O, PP) → α
  11. Segment(P, (x(P), 0)) → sen
  12. Polygon(P, O, (x(P), 0)) → Q, a, d, e
  13. Segment(F, G) → b
  14. Segment(F, E) → h
  15. Segment(O, F) → j
  16. Circle(O, dis) → p
  17. CircleArc(O, AA / 2, PP / 2) → k

AI Drawing Prompt Reference

Draw a graph of the cosine function. The graph should include a coordinate system, a origin point, a cosine curve, and some auxiliary lines like vertical and horizontal lines. The construction order should start with the coordinate system, then add the origin point, then draw the cosine curve, and finally add auxiliary lines to help understand the graph.
The prompt above was compiled from the original drawing commands and is for reference only.