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Exploring Trigonometric Ratios of Angles

Exploring Trigonometric Ratios of Angles
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2017-12-06 21:04
AngleTrigonometryCoordinate Geometry
This example demonstrates finding trigonometric ratios of angles drawn in standard position. Key concepts include sine and cosine. Using GeoGebra commands like Rotate, Ray, Intersect, students can understand the relationship between angles and their trigonometric ratios. Suitable for high school math education.

GeoGebra Commands & Parameters

  1. Rotate(A, (a * π / 180), O) → P_1
  2. Angle(A, O, P_1) → α
  3. Segment(O, P_1) → i
  4. Ray(O, P_1) → f
  5. Intersect(d, f) → P_2,
  6. Segment(P_1, P_2) → j
  7. Intersect(g, h) → D
  8. OrthogonalLine(P_1, g) → k
  9. Intersect(g, k) → E
  10. Angle(P_1, E, O) → β
  11. Angle(P_2, D, O) → γ
  12. Segment(P_2, D) → l
  13. Segment(P_1, E) → m
  14. Polygon(O, E, P_1) → t1, p_1, o, e
  15. Polygon(O, D, P_2) → t2, p_2, o_1, d_1
  16. Segment(O, D) → p
  17. Segment(O, E) → q
  18. Segment((0, 0), P_1) → s
  19. Segment((0, 0), P_2) → t