Tangent Function and Unit Circle by Stephanie Siersma

Tangent Function and Unit Circle by Stephanie Siersma
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2019-12-10 03:38
This example dynamically demonstrates the relationship between the tangent function graph and the unit circle, visually showing the geometric meaning of the tangent value. Core math concepts include the unit circle, trigonometric function definitions, right triangles, and the relationship between hypotenuse and opposite side. Construction highlights involve GeoGebra commands like Intersect (intersection), Point (point), Circle (circle), OrthogonalLine (perpendicular line), Line (line), Segment (segment), and Ray (ray). Suitable for high school students to understand the origin of trigonometric function graphs and applications of the unit circle.

GeoGebra Commands & Parameters

  1. Intersect(xAxis, yAxis) → A
  2. Point(xAxis) → B
  3. Circle(A, B) → c
  4. Point(c) → C
  5. OrthogonalLine(B, xAxis) → f
  6. Line(A, C) → g
  7. Intersect(f, g) → D
  8. Segment(B, D) → h
  9. Intersect(p, q, (157.74532, 0.7852584292924828)) → E
  10. Intersect(p, q, (157.74532, 0.7852584292924828)) → F
  11. Intersect(f, g) → G
  12. Intersect(r, q, (0.6656881316171875, 0.7852597405536458)) → H
  13. Point(xAxis) → J
  14. OrthogonalLine(J, xAxis) → i
  15. OrthogonalLine(K, xAxis) → j
  16. Intersect(j, xAxis) → L
  17. Intersect(g, i) → M
  18. Point(g) → N
  19. Ray(M, N) → k