MathPlotAI Logo MathPlotAI

Verify Trig. (sin & cos) of Central Angles

Verify Trig. (sin & cos) of Central Angles
Loading the math board and drawing, please wait…
2017-10-07 22:03
CircleAngleTrigonometryGeometric ConstructionGraphing
In collections Math Year 4 Unit 1
This example demonstrates how to construct central angles in a circle using GeoGebra and verify their sine and cosine values. Core math concepts include circles, central angles, sine functions, and cosine functions. Construction highlights involve commands like Circle, Angle, Point, Segment, Line, Tangent, and OrthogonalLine. Suitable for high school mathematics education, helping students visually understand the definition of trigonometric functions and their application in circles.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → Center
  2. Circle(Center, 1) → FerrisWheel
  3. Tangent(Release, FerrisWheel) → f,
  4. Segment(Center, Release) → hyp
  5. Line(Center, B) → h
  6. OrthogonalLine(Release, h) → i
  7. Intersect(i, h) → D
  8. Intersect(h, i) → E
  9. Intersect(h, hyp) → F
  10. Intersect(hyp, h) → G
  11. Angle(D, Center, Release) → β
  12. Point(i) → H
  13. Segment(Release, D) → opp
  14. Segment(Center, D) → adj
  15. Text(HeightAddOn) → text1
  16. Text(HorzDiver) → text2