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Translations and Transformations of Trigonometric Functions

Translations and Transformations of Trigonometric Functions. by S Spisak. A Basic Trig Refresher…. What does each function look like?. y = cos(x). y = tan(x). y = sin(x). since sin(x) and cos(x) look almost identical, this powerpoint will use sin(x) and tan(x) for the examples.

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Translations and Transformations of Trigonometric Functions

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  1. Translations and Transformationsof Trigonometric Functions by S Spisak

  2. A Basic Trig Refresher… What does each function look like?

  3. y = cos(x) y = tan(x) y = sin(x) since sin(x) and cos(x) look almost identical, this powerpoint will use sin(x) and tan(x) for the examples

  4. A quick review transformations…

  5. sin(x),4sin(x) & 0.2sin(x)

  6. sin(x),sin(4x) & sin(.5x)

  7. sin(x),2sin(2x) & 0.5sin(0.5x)

  8. Now lets add translations When you see a happy face, try and graph the function – you will have 30 seconds!

  9. sin(x),sin(x)+2 & sin(x)-3

  10. sin(x),sin(x+90) & sin(x-45)

  11. sin(x),3sin(x)+1

  12. sin(x),sin(x+90)-2

  13. sin(x),-2sin(x-45)

  14. sin(x),sin(3x-180)

  15. tan(x), 5tan(x)

  16. tan(x), 0.1tan(x)

  17. tan(x), tan(x)+5

  18. tan(x), tan(x-45)

  19. tan(x),tan(2x)-1

  20. tan(x), tan(.5x+90)+2

  21. The End Fin

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