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Reference Angles by Doug Kuhlmann

Reference Angles by Doug Kuhlmann
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2015-06-21 00:41
AngleTrigonometryGeometric Construction
This example demonstrates the concept of reference angles. Key mathematical concepts include angle measurement and trigonometric functions. Using GeoGebra commands such as Arc, Segment, If, Midpoint, etc., a dynamic demonstration of reference angles is constructed. Suitable for high school mathematics education and learning.

GeoGebra Commands & Parameters

  1. Arc(c, A, B) → d
  2. Arc(c, B, A) → f
  3. Segment((0, 0), B) → a
  4. If(T < 3.141592653589793 / 2, T, 3.141592653589793 - T) → b
  5. Segment((0, 0), B') → h
  6. Arc(c, A, B') → k
  7. Segment(B, (x(B), 0)) → i
  8. Segment((0, 0), (x(B), 0)) → j
  9. Segment(B', (x(B'), 0)) → l
  10. Segment((0, 0), (x(B'), 0)) → m
  11. Midpoint(a) → C
  12. Circle((0, 0), C) → p
  13. Arc(p, (0.5, 0), C) → q
  14. Arc(p, C, (0.5, 0)) → r
  15. Circle((0, 0), 0.5) → s
  16. Circle((0, 0), 0.3333333333333333) → c_1
  17. Arc(c_1, (0.3333333333333333, 0), E) → d_1
  18. Arc(c_1, G, (-0.33333, 0)) → e_1
  19. Arc(c_1, G, (0.3333333333333333, 0)) → f_1
  20. Arc(c_1, (-0.3333333333333333, 0), G) → g_1