MathPlotAI Logo MathPlotAI

Trig Practice with Unit Circle Background

Trig Practice with Unit Circle Background
Loading the math board and drawing, please wait…
2019-02-01 00:40
TriangleCircleFunctionTrigonometry
This example is designed to practice finding missing elements in right-angled triangles and can optionally be shown in the context of a scaled unit circle. It demonstrates basic trigonometric concepts such as sine, cosine, and tangent. GeoGebra commands used include: Intersect, Circle, Point, Segment, OrthogonalLine, Textfield, Angle, Polygon, Corner, etc. Suitable for middle school and above students for trigonometry and geometric construction learning.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → O
  2. Circle(O, r) → c
  3. Intersect(c, xAxis, 2) → UnitPt
  4. Point(c) → A
  5. Segment(O, A) → f
  6. OrthogonalLine(A, yAxis) → g
  7. OrthogonalLine(A, xAxis) → h
  8. Intersect(g, yAxis) → C
  9. Segment(A, C) → i
  10. Intersect(h, xAxis) → B
  11. Segment(A, B) → j
  12. Segment(O, B) → k
  13. Textfield(θ) → InputBox1
  14. Angle(UnitPt, O, A) → α
  15. Polygon(A, B, O) → t1, o, a, b
  16. Corner(1) → D
  17. Angle(A, B, O) → β