anonymous
  • anonymous
How can I calculate w from following Equation: \(cot(2w) = \large \frac{w}{2}\)
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Please refresh question once..
anonymous
  • anonymous
@satellite73
anonymous
  • anonymous
just to check, you mean cot as in short for coth, the hyperbolic trig function?

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anonymous
  • anonymous
cot = cotangent right @waterineyes ?
anonymous
  • anonymous
Yes, it is Cotangent..
anonymous
  • anonymous
Ah, I see. We just have different terminology here in Australia. I've had a couple of embarrassing situations like this now. Afraid I can't help much then, sorry.
anonymous
  • anonymous
I thought Mathematics is same everywhere.. :)
anonymous
  • anonymous
mhm, same here?
anonymous
  • anonymous
@ganeshie8 @.Sam. @AravindG
anonymous
  • anonymous
Oh I meant I agree with you @waterineyes
anonymous
  • anonymous
Most are the same, just that some terminology differs from country to country. It's similar to having two different text books, they can sometimes have different names, shortcuts, symbols for functions.
anonymous
  • anonymous
Oh, cot and cotangent?? After all meaning is same buddy.. Here, we use \(cos^{-1}\) and other uses Arccos like that..
anonymous
  • anonymous
So you want to solve for w, right?
anonymous
  • anonymous
I tried, but i couldn't seem to get it :/
anonymous
  • anonymous
Yes, @AravindG
AravindG
  • AravindG
1 approach would be the graphical method
AravindG
  • AravindG
I am thinking of the algebraic way.
anonymous
  • anonymous
Take your time..
anonymous
  • anonymous
I doubt that this might help...? \[\cot(2w) = \frac{ w }{ 2 } \rightarrow \frac{ 1 }{ \tan(2w) } = \frac{ w }{ 2 }\]
anonymous
  • anonymous
@dan815 @Luigi0210
anonymous
  • anonymous
In what sense, it can help??
anonymous
  • anonymous
I do not know.
AravindG
  • AravindG
I am not able to separate w completely to one side. What I got is this : \[\cot w-\tan w=2\cot2w\] \[\cot w-\tan w=2(\dfrac{w}{2})=w\]
AravindG
  • AravindG
Wait a second ...Maybe you could form a quadratic in tan w or cot w from here and solve for it! I dont have time to work it here though..Best of luck!
anonymous
  • anonymous
Suppose if I have a scientific calculator, then how can I put this equation in that calculator to find the value of \(\omega\)??
anonymous
  • anonymous
@hartnn you are urgently required here..
anonymous
  • anonymous
Newton's Method
anonymous
  • anonymous
Hmmm, well \[ \cot (2w) = \frac{\cos(2w)}{\sin(2w)} \]So it does come out to be: \[ 2\cos(2w) = w\sin(2w) \] I don't see any definitive method here other than finding roots.
hartnn
  • hartnn
which topic does this belong...i guess, no algebraic methods applicable
abb0t
  • abb0t
have you tried in terms of cosine and sine?
abb0t
  • abb0t
omfg. Lol. i Just saw someone suggested that. I'm such a meatball.
anonymous
  • anonymous
I am not able to find it unless I use online calculators like wolfram alpha.. How will we eliminate w from the argument of cot??

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