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Sine, Cosine, Tangent

Sine, Cosine, Tangent
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2016-01-24 14:02
AngleFunctionTrigonometry
This example illustrates the geometric meanings of sine, cosine, and tangent functions. It involves core concepts of trigonometry, demonstrating the properties of these functions through the construction of a circle, rotation, angles, and slopes. Commands used include Intersect, Circle, Segment, Rotate, Angle, OrthogonalLine, and Polygon. Suitable for high school math education and students learning trigonometric functions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, 1) → c
  3. Intersect(c, xAxis, 2) → B
  4. Segment(A, B) → b
  5. Rotate(B, a, A) → B'
  6. Angle(B, A, B') → α
  7. OrthogonalLine(B', b) → d
  8. Intersect(d, xAxis) → C
  9. Polygon(A, C, B') → poly1, b', a_1, c_1