MathPlotAI Logo MathPlotAI

Graph of Sine and Cosine

Graph of Sine and Cosine
Loading the math board and drawing, please wait…
2017-02-20 02:06
FunctionTrigonometryGraphing
This example demonstrates the graphs of sine and cosine functions. Key mathematical concepts include trigonometry. Using GeoGebra commands such as Intersect, Circle, and OrthogonalLine, the sine and cosine graphs are constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → M
  2. Circle(M, r) → c
  3. OrthogonalLine(X, xAxis) → g
  4. Intersect(g, xAxis) → A
  5. Polygon(M, A, X) → poly1, rcos, rsin, radius
  6. OrthogonalLine(X_{sin}, xAxis) → h
  7. Intersect(xAxis, h) → B
  8. Segment(B, X_{sin}) → i
  9. Segment(X, X_{sin}) → j
  10. Segment(D, C) → f
  11. Intersect(f, g) → X'
  12. OrthogonalLine(M, xAxis) → k
  13. Intersect(f, k) → M'
  14. Segment(A, X') → l
  15. Segment(M', X') → m
  16. Segment(X', X_{cos}) → n
  17. Segment(E, X_{cos}) → p
  18. Line(M, B) → q
  19. Line(M', E) → s