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Unit Circle and Trig Functions by Will Elliott

Unit Circle and Trig Functions by Will Elliott
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2016-10-15 02:04
CircleFunctionTrigonometry
This example demonstrates the sine and cosine functions using the unit circle. It shows how to define sine and cosine functions using points on the unit circle, involving core math concepts such as trigonometry, unit circle, and angles. Using GeoGebra commands like Intersect, Rotate, Angle, and Ray, this example is suitable for high school math education and students learning trigonometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Rotate(B, θ°, A) → B'
  3. Angle(B, A, B') → α
  4. Ray(A, B') → a

AI Drawing Prompt Reference

Draw a unit circle and select a point B on it, then rotate B around point A to get B'. Measure the angle ∠BAB' and draw a ray from A to B', illustrating the definitions of sine and cosine functions.
The prompt above was compiled from the original drawing commands and is for reference only.