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Triangle in Unit Circle

Triangle in Unit Circle
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2020-01-22 05:06
TriangleCircleTrigonometryCoordinate GeometryGeometric Construction
This example demonstrates a triangle within a unit circle. By dragging the red point, you can observe changes in the triangle's sides and angles. Key mathematical concepts include trigonometric functions, angles, and triangle properties. It uses commands such as Circle, Angle, Polygon, and Segment in GeoGebra. Suitable for middle school and above students to learn trigonometry and geometric construction.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Point(xAxis) → B
  3. Circle(O, B) → c
  4. Point(c) → A
  5. Angle(B, O, A) → α
  6. Polygon(O, C, A) → poly1, adj, opp, hyp
  7. Segment(O, S) → sinα
  8. Segment(O, C) → cosα
  9. Segment(A, O) → a
  10. Angle(A, C, O) → β