Pssssst
What is the period of f(x) =  tan 4x?



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ash2326
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@Pssssst Do you know the period of tan x?

Pssssst
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No, I do not.

ash2326
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Ok, do you know what does period mean ?

ash2326
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For a function

Pssssst
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Honestly, no.

ash2326
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OK, I'll explain :)

Pssssst
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Thank you, and sorry haha. :)

ash2326
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Let a function be f(x), T is it's period if
\[f(x+T)=f(x)\]
it'll also hold for integral multiples of T
\[f(x+nT)=f(x)\]
n=1, 2, 3,4, 0, 1, 2

ash2326
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If you look at the graph of tan x, it's period is \(2\pi\)

ash2326
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Do you get this?

Pssssst
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Alright. I'm following.

ash2326
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Now if we have tan 2x, it's period will be \(\frac{2\pi}{2}\)
can you tell me, what will be the period of tan 4x ?

ash2326
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@Pssssst ??

Pssssst
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I'm sorry, I had to do something. hah

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4x/2

Pssssst
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My bad, * 4x/4 right?

ash2326
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Read carefully at my posts again :)

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The period of tan 2x is 2(pi)/2? or 2x/2? It's hard to read it on my computer