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Defining Trigonometric Ratios

Defining Trigonometric Ratios
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2018-01-19 00:17
AngleTrigonometryCoordinate Geometry
This example demonstrates the definition of trigonometric ratios. Using commands like Sequence, Point, Angle, Circle, and Segment in GeoGebra, it illustrates the geometric meanings of sine, cosine, and tangent. Suitable for students in middle school and above to learn the basic concepts of trigonometric functions.

GeoGebra Commands & Parameters

  1. Sequence(Rotate[(r, 0), k°, (0, 0)], k, 0, 360) → list1
  2. Point(list1) → P
  3. Angle((1, 0), (0, 0), P) → θ
  4. Circle((0, -0.004807882852143508), r) → c
  5. Segment((0, 0), P) → a
  6. Segment((0, 0), (x(P), 0)) → b
  7. Segment(P, (x(P), 0)) → d
  8. Midpoint(b) → A
  9. Midpoint(d) → B
  10. Midpoint(a) → C
  11. Segment(E, E - (0, 0.025)) → i
  12. Segment(F, F - (0, 0.025)) → j
  13. Segment(G, G + (0.025, 0)) → k
  14. Segment(H, H + (0.025, 0)) → l
  15. Angle(P, (x(P), 0), (0, 0)) → α
  16. Sequence(Rotate[(r, 0), k°, (0, 0)], k, 0, 360) → list1_1
  17. Point(list1_1) → P_1