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Sine and Cosine on Unit Circle

Sine and Cosine on Unit Circle
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2015-12-07 09:16
CircleTrigonometryGeometric ConstructionGraphing
In collections College Stuff
This example demonstrates the geometric meaning of sine and cosine on a unit circle, showing how the values change dynamically with the angle θ. Core math concepts include trigonometric functions, unit circle, angles, and coordinate geometry. Construction highlights involve commands like Circle, Point, Segment, Angle, and Sequence. Suitable for high school students learning trigonometry and analytical geometry to understand the relationship between trigonometric graphs and the unit circle.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Point(c) → A
  3. Segment(A, B) → a
  4. Segment(B, C) → b
  5. Angle(C, B, A) → θ
  6. Segment(D, A) → d
  7. Segment(E, A) → e
  8. Segment(G, F) → f
  9. Segment(F, H) → g
  10. Segment(F, I) → h
  11. Segment(J, K) → l
  12. Segment(K, L) → m
  13. Sequence(Segment[(i, 0.2), (i, -0.2)], i, 0, floor(θ) + 1) → list1