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marasofia1616
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f(x) =  2 cot 3x please someone help me find the domain and range of this functions
 2 years ago
 2 years ago
marasofia1616 Group Title
f(x) =  2 cot 3x please someone help me find the domain and range of this functions
 2 years ago
 2 years ago

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Ahaanomegas Group TitleBest ResponseYou've already chosen the best response.0
Do you know the domain and rain for cot?
 2 years ago

marasofia1616 Group TitleBest ResponseYou've already chosen the best response.0
that its undefined because its domain in standard form is all real #s except pi? I am not sure, I am guessing
 2 years ago

Tonks Group TitleBest ResponseYou've already chosen the best response.0
Right, the domain of cot(x) is all reals except for integer multiples of pi. So not at 0, pi, 2pi, ...
 2 years ago

Tonks Group TitleBest ResponseYou've already chosen the best response.0
So if this is cot(3x), then 3x cannot equal n*pi. Now solve for x
 2 years ago

marasofia1616 Group TitleBest ResponseYou've already chosen the best response.0
do I solve for x by setting 3x = 0?
 2 years ago

Ahaanomegas Group TitleBest ResponseYou've already chosen the best response.0
No. What @Tonks means is "solve of x in terms of n and pi", I believe. He's stating an easy statement in a very formal manner.
 2 years ago

Tonks Group TitleBest ResponseYou've already chosen the best response.0
No, I mean in a statement like 3x = n*pi, isolate x on one side and everything else on the other by dividing by 3...
 2 years ago

Ahaanomegas Group TitleBest ResponseYou've already chosen the best response.0
Yep. Exactly what I said. ;)
 2 years ago

marasofia1616 Group TitleBest ResponseYou've already chosen the best response.0
Ok, but how do I get the domain or range from that?
 2 years ago

Ahaanomegas Group TitleBest ResponseYou've already chosen the best response.0
Take the domain of the basic function and think of it geometrically.
 2 years ago

Tonks Group TitleBest ResponseYou've already chosen the best response.0
dw:1350961916817:dw Here is cotx
 2 years ago

Tonks Group TitleBest ResponseYou've already chosen the best response.0
dw:1350962021979:dw
 2 years ago

Tonks Group TitleBest ResponseYou've already chosen the best response.0
Now if you are familiar with transformations, then you know a multiple of x compresses the graph along the xaxis
 2 years ago

Tonks Group TitleBest ResponseYou've already chosen the best response.0
That compression will move the asymptotes, like an accordion, toward the origin.
 2 years ago
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