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Unit Circle for Exploring Trig Ratios

Unit Circle for Exploring Trig Ratios
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2019-01-25 02:14
CircleAngleFunctionTrigonometryGeometric Construction
This example demonstrates the trigonometric ratios (sine, cosine, tangent) corresponding to any angle on the unit circle. It involves core concepts like the unit circle, trigonometric functions, angles, and right triangles. Construction highlights include using GeoGebra commands such as Circle, Segment, Point, OrthogonalLine, Intersect, and Angle. Ideal for high school students learning trigonometric definitions and properties.

GeoGebra Commands & Parameters

  1. Circle(A, B) → c
  2. Segment(A, B) → f
  3. Point(c) → C
  4. Segment(A, C) → g
  5. OrthogonalLine(C, f) → h
  6. Intersect(h, f) → D
  7. Segment(C, D) → i
  8. Segment(A, D) → j
  9. Angle(C, A, D) → α