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Sine, Cosine, and the Unit Circle by Andrew Jacobs

Sine, Cosine, and the Unit Circle by Andrew Jacobs
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2017-02-25 17:06
CircleFunctionTrigonometry
This example demonstrates the relationship between sine, cosine, and the unit circle. Key mathematical concepts include trigonometric functions and the unit circle. Using GeoGebra commands such as Intersect, Circle, Point, and Segment, the example constructs angles, sine, and cosine values. Suitable for students in middle school and above to learn about trigonometric functions and the unit circle.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Point({cos(Angle), sin(Angle)}) → B
  4. Segment(A, B) → f
  5. Point({Angle, cos(Angle)}) → C
  6. Point({Angle, sin(Angle)}) → D
  7. Point({cos(Angle), 0}) → E
  8. Segment(E, B) → g
  9. Segment(A, E) → h

AI Drawing Prompt Reference

Draw a unit circle with a point at the origin and a line segment from the origin at any angle intersecting the circle. Mark the intersection point, whose coordinates represent the sine and cosine of the angle. Also, mark the corresponding sine and cosine values on the x and y axes and connect them to show the relationships.
The prompt above was compiled from the original drawing commands and is for reference only.