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Trig Ratios Exploration by lfletcher

Trig Ratios Exploration by lfletcher
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2015-09-10 06:58
FunctionTrigonometryGeometric Construction
This example demonstrates the geometric relationships between trigonometric ratios, cones, equilateral triangles, kites, and piecewise functions. It involves core math concepts like circles, polygons, angles, line lengths, and function graphs. Construction highlights GeoGebra commands: Intersect, Circle, Rotate, Angle, Line, Polygon. Suitable for high school mathematics teaching and function graph exploration.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Circle(A, Radius) → c
  3. Intersect(c, xAxis, 2) → D
  4. Rotate(D, CentralAngle, A) → B
  5. Angle(D, A, B) → α
  6. Line(B, yAxis) → a
  7. Intersect(a, xAxis) → C
  8. Polygon(A, B, C) → poly1, hyp, opp, adj
  9. Angle(B, C, A) → β
  10. Angle(B, A, C) → γ