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Odd and Even Trigonometric Functions

Odd and Even Trigonometric Functions
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2019-03-26 21:08
FunctionTrigonometryGeometric Construction
This activity helps students determine the odd and even nature of trigonometric functions. Key mathematical concepts include the odd and even properties of trigonometric functions. Using GeoGebra commands such as f, g, h, students can visually understand the characteristics of odd and even functions. Suitable for high school mathematics education.

GeoGebra Commands & Parameters

  1. f(x) = sin(x)
  2. g(x) = sin(-x)
  3. h(x) = -sin(x)
  4. Boolean a(false)
  5. Boolean b(false)
  6. Boolean c(false)
  7. p(x) = cos(x)
  8. q(x) = cos(-x)
  9. r(x) = -cos(x)
  10. Boolean d(false)
  11. Boolean e(false)
  12. Boolean i(false)
  13. s(x) = 1 / sin(x)
  14. t(x) = 1 / sin(-x)
  15. f_1(x) = 1 / (-sin(x))
  16. Boolean j(false)
  17. Boolean k(false)
  18. Boolean l(false)
  19. g_1(x) = 1 / cos(x)
  20. h_1(x) = 1 / cos(-x)
  21. p_1(x) = 1 / (-cos(x))
  22. Boolean m(false)
  23. Boolean n(false)
  24. Boolean o(false)
  25. q_1(x) = tan(x)
  26. r_1(x) = tan(-x)
  27. s_1(x) = -tan(x)
  28. Boolean u(false)
  29. Boolean v(false)
  30. Boolean w(false)
  31. t_1(x) = 1 / tan(x)
  32. f_2(x) = 1 / tan(-x)
  33. g_2(x) = 1 / (-tan(x))
  34. Boolean z(false)
  35. Boolean a_1(false)
  36. Boolean b_1(false)