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How to Tanh(complex number) 
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#1
Jun2314, 05:36 AM

P: 14

As the title shows, I want to do they hyperbolic tan of a complex number, using my calculator (casio fx100ms) but I keep getting a maths error, whether I do it using the tanh function or if I try the
(1e^(2x))/(1+e^(2x)) Any help would be awesome. Thanks. 


#2
Jun2314, 06:53 AM

P: 2,982

I think your calculator manual says that the calculator doesn't support the complex number coefficient mode for hyperbolic sinh, cosh, tanh and other select functions.
http://www.google.com/url?sa=t&rct=j...,d.cWc&cad=rja 


#3
Jun2314, 06:57 AM

P: 14




#4
Jun2314, 07:19 AM

P: 2,982

How to Tanh(complex number)
Use google, in the search box enter tanh(5i) as an example and google calculator will show the answer  3.38051501 i



#5
Jun2314, 07:24 AM

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P: 6,525

Dang calculators only support real numbers! (Well, most of 'em anyways)
Tanh(z) can be evaluated by using the definition of the tanh function with complex argument z, tanh(z) = sinh(z) / cosh(z) = [itex]\frac{e^{z}e^{z}}{e^z+e^{z}}[/itex] which is not as easy to calculate as it looks. See: http://www.unigraz.at/imawww/vqm/pa...x/12_tanh.html You can always use Wolfram Alpha to calculate a tanh(z) for a specific value of z 


#6
Jun2314, 11:29 AM

P: 14




#7
Jun2314, 11:50 AM

P: 2,982

Perhaps you should ask your teacher about it before the exam. You might need a better calculator TI83 ??? but not sure if it has the same limit or not.
CORRECTION: http://tibasicdev.wikidot.com/tanh TI caclculator doesn't support complex numbers with tanh either. 


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