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Groups > comp.soft-sys.math.maple > #1190

Simplifying exponential expressions

Newsgroups comp.soft-sys.math.maple
Date 2015-08-29 13:13 -0700
Message-ID <d1c99e89-d1f5-4d1d-ae68-c5259e531600@googlegroups.com> (permalink)
Subject Simplifying exponential expressions
From Peter Luschny <peter.luschny@gmail.com>

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Consider 

f := t -> exp(-n*I*t)*(1+exp(exp(I*t)))/cosh(exp(I*t))/(exp(I*t*(1-n)) 
*(1+(exp(exp(I*t))-1)/(exp(2*exp(I*t))+1)));
simplify(f(t));

h := t ->(exp(-I*t)*(exp(exp(I*t))+exp(-exp(I*t))-2*cosh(exp(I*t))) /cosh(exp(I*t)));
simplify(h(t));

g := t -> (1/2)*(exp(exp(I*t))+exp(-exp(I*t)))/cosh(exp(I*t));
simplify(g(t));

I think every freshman equipped with a formulary can simplify this, 
unlike the "world's most powerful math engine".

Or did I miss something?

P.S.: If you want to know the solution try Wolfram/Alpha.

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Thread

Simplifying exponential expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-29 13:13 -0700
  Re: Simplifying exponential expressions rouben@shady-2.(none) (Rouben Rostamian) - 2015-08-30 04:37 +0000
    Re: Simplifying exponential expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-30 05:30 -0700
      Re: Simplifying exponential expressions Axel Vogt <&noreply@axelvogt.de> - 2015-08-30 15:24 +0200
        Re: Simplifying exponential expressions Peter Luschny <peter.luschny@gmail.com> - 2015-08-30 14:40 -0700
          Re: Simplifying exponential expressions Axel Vogt <&noreply@axelvogt.de> - 2015-08-31 22:10 +0200
  Re: Simplifying exponential expressions RGVickson@shaw.ca - 2015-09-15 10:50 -0700

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