Visualizing Sine and Cosine Functions

Visualizing Sine and Cosine Functions
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2016-03-09 01:48
This example dynamically demonstrates the graphs of sine and cosine functions and their relationship with the unit circle. Core math concepts include trigonometric functions, unit circle, and coordinate geometry. Construction highlights include commands like Segment, Vector, and Angle, as well as objects such as c, α, P, etc. Ideal for high school mathematics teaching to help students intuitively understand the properties and graphs of trigonometric functions.

GeoGebra Commands & Parameters

  1. Segment(Q, P) → a
  2. Vector(Q, P) → u
  3. Vector(Q, (0, 0)) → v
  4. Angle(u, v) → β
  5. Vector((0, 0), P) → w
  6. Vector((0, 0), (1, 0)) → b
  7. Angle(b, w) → θ