How to Graph Sine and Cosine with Transformations

How to Graph Sine and Cosine with Transformations

GreeneMath.com via YouTube Direct link

Introduction

1 of 31

1 of 31

Introduction

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Classroom Contents

How to Graph Sine and Cosine with Transformations

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  1. 1 Introduction
  2. 2 What are periodic functions?
  3. 3 Revisiting the unit circle
  4. 4 Sine and Cosine are periodic functions
  5. 5 Revisiting sine and cosine values from the unit circle
  6. 6 Revisiting the circular functions
  7. 7 Values for y = sin x
  8. 8 Values for y = cos x
  9. 9 Basic points on a sine graph
  10. 10 Graphing y = sin x over 1 period
  11. 11 Graphing the sine wave, y = sin x
  12. 12 Creating points from negative angle measures
  13. 13 A few facts about the sine function
  14. 14 Showing that sine is an odd function
  15. 15 Obtaining the five key x-values for sine
  16. 16 Graphing y = a sin x problem 1
  17. 17 Graphing y = a sin x problem 2
  18. 18 Graphing y = a sin x problem 3, reflection across x-axis
  19. 19 Showing the range for y = a sin x
  20. 20 Finding the amplitude
  21. 21 Finding the period
  22. 22 Considering a horizontal stretch or horizontal compression
  23. 23 Graph of f(x) = a sin bx
  24. 24 Graphing f(x) = 3 sin 2x
  25. 25 Graphing f(x) = 3 sin x/3
  26. 26 What is a phase shift?
  27. 27 Graphing y = 4 sin (2x - 2π/3)
  28. 28 Vertical shift
  29. 29 Graphing y = 4 sin (3x + 3π/4) - 1
  30. 30 Graphing y = cos x
  31. 31 Graphing y = 3 cos (3x + 2π/3) + 2

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