Unit Circle and Sine Graph by Gerrit Stols

Unit Circle and Sine Graph by Gerrit Stols
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2015-11-11 05:11
This example demonstrates the relationship between the unit circle and the sine graph, visually showing the geometric meaning of the sine function. Core math concepts include the unit circle, trigonometric functions, sine function, and the relationship between angles and coordinates. Construction highlights include GeoGebra commands like Intersect (intersection), Point (point), Circle (circle), Segment (segment), Angle (angle), OrthogonalLine (perpendicular line), and Vector (vector). Suitable for high school students and learners needing to understand the connection between trigonometric functions and geometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(yAxis) → B
  3. Circle(A, B) → c
  4. Point(c) → C
  5. Segment(C, A) → a
  6. Point(c) → D
  7. Angle(D, A, C) → α
  8. OrthogonalLine(E, xAxis) → d
  9. OrthogonalLine(E, yAxis) → e
  10. Point(xAxis) → F
  11. Point(xAxis) → G
  12. Point(xAxis) → H
  13. Intersect(d, xAxis) → J
  14. Vector(E, J) → u
  15. Intersect(e, yAxis) → K
  16. Vector(E, K) → v