Mathematics
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OpenStudy (anonymous):
What is the period of f(x) = - tan 4x?
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OpenStudy (ash2326):
@Pssssst Do you know the period of tan x?
OpenStudy (anonymous):
No, I do not.
OpenStudy (ash2326):
Ok, do you know what does period mean ?
OpenStudy (ash2326):
For a function
OpenStudy (anonymous):
Honestly, no.
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OpenStudy (ash2326):
OK, I'll explain :)
OpenStudy (anonymous):
Thank you, and sorry haha. :)
OpenStudy (ash2326):
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
OpenStudy (ash2326):
If you look at the graph of tan x, it's period is \(2\pi\)
OpenStudy (ash2326):
Do you get this?
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OpenStudy (anonymous):
Alright. I'm following.
OpenStudy (ash2326):
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 ?
OpenStudy (ash2326):
@Pssssst ??
OpenStudy (anonymous):
I'm sorry, I had to do something. hah
OpenStudy (anonymous):
4x/2
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OpenStudy (anonymous):
My bad, * 4x/4 right?
OpenStudy (ash2326):
Read carefully at my posts again :)
OpenStudy (anonymous):
The period of tan 2x is 2(pi)/2? or 2x/2? It's hard to read it on my computer