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Caitie

What is the equation for the graph shown?

  • 3 months ago
  • 3 months ago

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  1. Caitie
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    • 3 months ago
  2. azetina
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    Definitely something involving tan(x)

    • 3 months ago
  3. Caitie
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    Awesome, thank you! Any idea how to find the equation?

    • 3 months ago
  4. azetina
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    Look at the period

    • 3 months ago
  5. Caitie
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    What's a period?

    • 3 months ago
  6. azetina
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    For example the period of sin(x) is 2pi. (one complete oscilation)

    • 3 months ago
  7. Caitie
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    How do I find the equation simply by looking at a graph though?

    • 3 months ago
  8. azetina
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    compare it to the base graph tan(x)

    • 3 months ago
  9. Caitie
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    tan(x) is pi...?

    • 3 months ago
  10. Caitie
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    Wow I'm confused haha

    • 3 months ago
  11. Caitie
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    I'm still really confused as to how to find the equation of the graph though

    • 3 months ago
  12. Caitie
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    Is there a method to it?

    • 3 months ago
  13. azetina
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    The equation should be \[\tan \left( \frac{ x-\pi }{ 2 } \right)\]

    • 3 months ago
  14. alffer1
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    Ok first off: Based on the shape of the graph, what trig function is this?

    • 3 months ago
  15. alffer1
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    @azetina you're right. not exactly sure how to explain this though.

    • 3 months ago
  16. Caitie
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    Tangent

    • 3 months ago
  17. azetina
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    the second is \[\tan (x- \pi)\]

    • 3 months ago
  18. azetina
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    Like I said, compare the phase shift with the base graph tan x

    • 3 months ago
  19. azetina
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    and look at the zeros of the function

    • 3 months ago
  20. Caitie
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    Oh I get it that makes sense!

    • 3 months ago
  21. Caitie
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    Thank you so so much :)

    • 3 months ago
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