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Graph of f(x)=cos(x)

Graph of f(x)=cos(x)
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2019-02-27 20:38
FunctionTrigonometryGraphing
This example demonstrates the graph of the cosine function f(x)=cos(x). Key mathematical concepts include trigonometric functions and function graphs. Using GeoGebra commands such as Intersect, Circle, and Segment, the cosine function graph is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → f
  3. Segment(A, B) → AB
  4. Segment(B, C) → BC
  5. Angle(xAxis, AB) → α
  6. Segment(B, F) → BF
  7. Point(yAxis) → I
  8. Vector(H, I) → u
  9. Vector(H, J) → v

AI Drawing Prompt Reference

Draw the graph of the cosine function f(x)=cos(x). Start with coordinate axes and a unit circle centered at the origin with radius 1. Mark a point on the circle, connect it to the center to form a radius, and label the angle between this radius and the positive x-axis. Drop a perpendicular from this point to the x-axis. Also, choose a point on the y-axis and draw two vectors from it pointing to two other points on the circle, to illustrate the relationship between the cosine function and the unit circle. The final figure should include the unit circle, axes, radius, perpendicular, angle mark, and two auxiliary vectors.
The prompt above was compiled from the original drawing commands and is for reference only.