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Introduction to Trigonometric Functions and Ratios

Introduction to Trigonometric Functions and Ratios
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2017-04-06 10:40
AngleFunctionTrigonometryGeometric ConstructionGraphing
This example demonstrates the basic concepts of trigonometric functions and ratios, illustrating the relationships between the unit circle and right-angled triangles to define sine, cosine, and tangent functions. Key math concepts include trigonometric functions, unit circle, angle measurement, and side ratios in right triangles. Construction highlights the use of GeoGebra commands and objects such as Intersect, Point, Segment, OrthogonalLine, Angle, LineBisector, and Circle. Suitable for middle and high school mathematics education to help students visually understand the definitions and properties of trigonometric functions.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → B
  2. Point(xAxis) → A
  3. Segment(B, A) → f
  4. OrthogonalLine(A, f) → g
  5. Point(g) → C
  6. Segment(C, B) → h
  7. Segment(A, C) → i
  8. Angle(C, A, B) → α
  9. Angle(A, B, C) → β
  10. LineBisector(h) → j
  11. LineBisector(i) → k
  12. LineBisector(f) → l
  13. Intersect(k, i) → D
  14. Intersect(l, f) → E
  15. Intersect(j, k) → F
  16. Circle(F, 1) → c
  17. Intersect(c, j, 1) → G
  18. Circle(E, 0.2) → d
  19. Intersect(d, l, 1) → H
  20. Angle(B, C, A) → γ