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Caitie

  • 2 years ago

What is the equation for the graph shown?

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

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

  4. azetina
    • 2 years ago
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    Look at the period

  5. Caitie
    • 2 years ago
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    What's a period?

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

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

  8. azetina
    • 2 years ago
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    compare it to the base graph tan(x)

  9. Caitie
    • 2 years ago
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    tan(x) is pi...?

  10. Caitie
    • 2 years ago
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    Wow I'm confused haha

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

  12. Caitie
    • 2 years ago
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    Is there a method to it?

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

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

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

  16. Caitie
    • 2 years ago
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    Tangent

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

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

  19. azetina
    • 2 years ago
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    and look at the zeros of the function

  20. Caitie
    • 2 years ago
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    Oh I get it that makes sense!

  21. Caitie
    • 2 years ago
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    Thank you so so much :)

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