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TRIGONOMETRY GRAPHS

This resource provides a comprehensive guide to understanding various trigonometric functions, including sine, cosine, secant, cosecant, tangent, and cotangent. It covers essential concepts such as amplitude, period, and phase shifts through examples and exercises. Students will learn how to manipulate these functions to analyze their graphs and transformations, enhancing their mathematical competence. Ideal for high school mathematics learners, this material encourages exploration and evaluation of trigonometric concepts meaningfully.

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TRIGONOMETRY GRAPHS

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  1. TRIGONOMETRYGRAPHS Lydia Valensia, S.Pd Guru Matematika SMA Negeri 2 Sekayu Email: lydia.valensia@yahoo.com

  2. HOME INTRODUCTION EXERCISE EVALUATION COMPETENCE MATERIAL Sine and Cosine functions

  3. squeeze squeeze y = sin(2x)

  4. y = sin(2x)

  5. y = sin(2x) Amplitude = 1 Period = π Phase shift = 0

  6. flip stretch squeeze stretch flip squeeze y = -4sin(2x)

  7. y = -4sin(2x)

  8. y = -4sin(2x) Amplitude = 4 Period = π Phase shift = 0

  9. π/2 y = sin(x + π/2) x + π/2 = 0 x = -π/2

  10. π/2 y = sin(x + π/2) x + π/2 = 0 x = -π/2 Amplitude = 1 Period = 2π Phase shift = -π/2

  11. squeeze squeeze

  12. Amplitude = 1 Period = π Phase shift = 0

  13. stretch squeeze stretch squeeze

  14. stretch stretch π/3

  15. π/3 Amplitude = 2 Period = 2π Phase shift = π/3

  16. stretch squeeze stretch squeeze π/2

  17. UP1 UP1

  18. Amplitude = 3 Period = π Phase shift = π/2 UP1 UP1

  19. HOME INTRODUCTION EXERCISE EVALUATION COMPETENCE MATERIAL secant and cosecant functions

  20. y = csc(x)

  21. y = csc(x) Amplitude = 1 Period = 2π Phase shift = 0

  22. y = sec(x) y = cos(x)

  23. stretch stretch y = 3sec(x-π) π

  24. y = 3sec(x-π) π Amplitude = 3 Period = 2π Phase shift = π

  25. HOME INTRODUCTION EXERCISE EVALUATION COMPETENCE MATERIAL tangent and cotangent functions

  26. y = tan(x) y = cos(x)

  27. y = tan(x) Amplitude = 1 Period = π Phase shift = 0

  28. y = cot(x) y = sin(x)

  29. y = cot(x) Amplitude = 1 Period = π Phase shift = 0

  30. HOME INTRODUCTION EXERCISE EVALUATION COMPETENCE MATERIAL

  31. Question 1 Amplitude = 3 Period = π Phase shift = 0

  32. stretch stretch y = 3sin(x) • Question 2

  33. y = 3sin(x) Amplitude = 3 Period = 2π Phase shift = 0

  34. y = sec(x) • Question 5 Amplitude = 1 Period = 2π Phase shift = 0

  35. y = sec(x) Amplitude = 1 Period = 2π Phase shift = 0

  36. HOME INTRODUCTION EXERCISE EVALUATION COMPETENCE MATERIAL Evaluation • Question 4 • Question 3 Question 3 and 4 is the evaluation

  37. stretch • Question 3

  38. Amplitude = 1 Period = 4π Phase shift = 0

  39. squeeze squeeze y = tan(2x+π) π/2 y = cos(x) • Question 4

  40. y = tan(2x+π) π/2 Amplitude = 1 Period = π/2 Phase shift = - π/2

  41. Title • Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Vivamus et magna. Fusce sed sem sed magna suscipit egestas. • Lorem ipsum dolor sit amet, consectetuer adipiscing elit. Vivamus et magna. Fusce sed sem sed magna suscipit egestas.

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