Caitie
What is the equation for the graph shown?



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Caitie
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azetina
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Definitely something involving tan(x)

Caitie
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Awesome, thank you! Any idea how to find the equation?

azetina
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Look at the period

Caitie
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What's a period?

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

Caitie
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How do I find the equation simply by looking at a graph though?

azetina
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compare it to the base graph tan(x)

Caitie
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tan(x) is pi...?

Caitie
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Wow I'm confused haha

Caitie
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I'm still really confused as to how to find the equation of the graph though

Caitie
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Is there a method to it?

azetina
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The equation should be \[\tan \left( \frac{ x\pi }{ 2 } \right)\]

alffer1
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Ok first off: Based on the shape of the graph, what trig function is this?

alffer1
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@azetina you're right. not exactly sure how to explain this though.

Caitie
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Tangent

azetina
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the second is \[\tan (x \pi)\]

azetina
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Like I said, compare the phase shift with the base graph tan x

azetina
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and look at the zeros of the function

Caitie
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Oh I get it that makes sense!

Caitie
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Thank you so so much :)