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Cosine and Sine Graphs

Cosine and Sine Graphs
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2015-10-10 13:16
FunctionTrigonometryGraphing
This example demonstrates the graphs of cosine and sine functions. Key mathematical concepts include trigonometry. Using GeoGebra commands such as Intersect, Circle, and Point, the graphs of these functions can be constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Circle(O, 1) → c
  3. Intersect(c, xAxis, 2) → P
  4. Point(c) → Q
  5. CircleArc(O, P, Q) → t
  6. OrthogonalLine(Q, yAxis) → h
  7. Intersect(m, h) → Z
  8. Intersect(c, yAxis, 2) → A
  9. CircleArc(O, Q, A) → d
  10. Intersect(h, a) → B

AI Drawing Prompt Reference

Draw the graphs of sine and cosine functions. Start by drawing the x-axis and y-axis, then draw a unit circle centered at the origin. Find the two intersection points of the circle with the x-axis to serve as starting points for the sine and cosine graphs. Draw the sine graph and find the intersection point with a vertical line from the y-axis. Finally, draw the cosine graph.
The prompt above was compiled from the original drawing commands and is for reference only.