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Trigonometric Equations Self-Test

Trigonometric Equations Self-Test
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2016-02-15 19:55
TrigonometryGeometric ConstructionGraphing
This example demonstrates the solving process of trigonometric equations through visual means, aiding in the understanding of the solutions. The core mathematical concepts involved include trigonometric functions, equation solving, and geometric representation. It is constructed using GeoGebra commands such as Element, Circle, Segment, Arc, If, Textfield, Polygon, Length, and objects like ans2, ans1, prnr, problem, sol2, sol1, c, s, d, P, Pc, Ps, pcos, psin, segmcos, segmsin, radP, radPc, radPs, e, arcPabove, f, arcPsabove, arcPcbelow, angleP, anglePc, anglePs, anglePdeg, anglePcdeg, anglePsdeg, textRad, started, textDeg, textRD, text1, eqn, text2, RD, text3, text4. Suitable for high school students and teachers.

GeoGebra Commands & Parameters

  1. Element(Element[problem, prnr], 4) → sol2
  2. Element(Element[problem, prnr], 3) → sol1
  3. Circle((0, 0), 1) → d
  4. Segment(P, Pc) → segmcos
  5. Segment(P, Ps) → segmsin
  6. Segment((0, 0), P) → radP
  7. Segment((0, 0), Pc) → radPc
  8. Segment((0, 0), Ps) → radPs
  9. Circle((0, 0), 0.8) → e
  10. Arc(e, (0, 0), P) → arcPabove
  11. Circle((0, 0), 0.7) → f
  12. Arc(f, (0, 0), Ps) → arcPsabove
  13. Arc(f, (0, 0), Pc) → arcPcbelow
  14. If(s ≥ 0, acos(c), (-acos(c))) → angleP
  15. If(s < 0, acos(c), (-acos(c))) → anglePc
  16. If(s ≥ 0, acos((-c)), (-acos((-c)))) → anglePs
  17. Element(Element[problem, prnr], 1) → eqn
  18. Element(textRD, Element[Element[problem, prnr], 2] + 1) → RD
  19. Textfield(ans1) → InputBox1
  20. Textfield(ans2) → InputBox2
  21. Arc(e, (1, 0), P) → arcPbelow
  22. Arc(f, (1, 0), Ps) → arcPsbelow
  23. Arc(f, (1, 0), Pc) → arcPcabove
  24. Polygon(Corner[1], Corner[2], Corner[3], Corner[4]) → poly1, a, b, g, h
  25. Length(problem) → length