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Comparing Trigonometric Values of Different Angles

Comparing Trigonometric Values of Different Angles
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2018-03-27 11:28
AngleFunctionTrigonometry
This example demonstrates the comparison of trigonometric values for different angles. Key mathematical concepts include trigonometric functions, angles, and function graphs. Using GeoGebra commands such as Circle, Sequence, Point, Angle, CurveCartesian, Segment, and Polygon, the example dynamically shows how changes in angles affect trigonometric values. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Circle((0, 0), 1) → c
  2. Sequence(Point[c, i / 360], i, 0, 359) → listPoint
  3. Point(listPoint) → Q
  4. Angle((1, 0), (0, 0), Q) → k2
  5. Point(listPoint) → P
  6. Angle((1, 0), (0, 0), P) → k
  7. CurveCartesian((r(t) * cos(t)), (r(t) * sin(t)), t, Min[0, theta], Max[0, theta]) → a
  8. Segment((0, 0), P) → f
  9. Segment((0, 0), Q) → g
  10. CurveCartesian((r(t) * cos(t)), (r(t) * sin(t)), t, Min[0, theta2], Max[0, theta2]) → b
  11. Polygon(P, Mirror[P, yAxis], (-P), Mirror[P, xAxis]) → q1, p, h, i, j
  12. Polygon(Q, Mirror[Q, yAxis], (-Q), Mirror[Q, xAxis]) → q2, q, l, m, n
  13. Segment(Mirror[P, yAxis], Mirror[P, xAxis]) → s
  14. Segment(P, (-P)) → t
  15. Segment(Q, (-Q)) → u
  16. Segment(Mirror[Q, yAxis], Mirror[Q, xAxis]) → v
  17. Angle(A, (0, 0), P) → α
  18. Angle(B, (0, 0), Q) → β