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Trigonometric Ratios on the Unit Circle by Nancy Taylor

Trigonometric Ratios on the Unit Circle by Nancy Taylor
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2017-03-17 06:20
CircleTrigonometry
This example demonstrates the concept of trigonometric ratios using the unit circle. It visually explains sine, cosine, tangent, cotangent, secant, and cosecant. GeoGebra commands such as Intersect, Point, Ray, Tangent, Segment, and OrthogonalLine are used for geometric construction. Suitable for high school math education and students learning trigonometry.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(c) → B
  3. Ray(A, B) → f
  4. Tangent(B, c) → g,
  5. Intersect(g, xAxis) → C
  6. Segment(B, C) → tangent
  7. Segment(A, B) → radius
  8. Segment(A, C) → secant
  9. Intersect(g, yAxis) → E
  10. Segment(A, E) → cosecant
  11. Segment(E, B) → cotangent
  12. OrthogonalLine(B, secant) → h
  13. Intersect(h, secant) → D
  14. Segment(B, D) → sine
  15. Segment(D, A) → cosine