Computing Hyperbolic Functions: Tips for Evaluating cosh(ln2)

kasse
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I wonder how I can compute hyperbolic terms like cosh(ln2). The calculator we're allowed to use doesn't have buttons for calculating hyperbolic functions.
 
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The hyperbolic trig functions are just sums and ratios of exponential function.

type hyperbolic function on wiki or something.
 
Incidentally, your example is trivial, if you know that

\cosh x =\frac{e^{x}+e^{-x}}{2}

Daniel.
 
There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...

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