Re: 'demoivre' not quite up to Wolfram's 'ExpToTrig' ?

On 5/2/26 6:05 PM, Henry Baker wrote:

> I'm trying to 'undo' exponentialize on sinh(x), cosh(x), etc.
>
> While demoivre(exp) works on sin(x), cos(x), it doesn't work on sinh(x), cosh(x).
>
> But you can trick demoivre by substituting x=%i*y, do demoivre, and then substitute back y=x/%i.
>
> Why isn't 'demoivre' smart enough to do this itself ?

This is what I used to do, but try out Barton’s excellent 
|function_convert|. You have to get it from 
https://github.com/barton-willis/function_convert. Then:

|(%i17) exponentialize(sinh(x)); x - x %e - %e (%o17) ─────────── 2 
(%i18) function_convert(exp=hyperbolic, %o17); x = - x - x x = - %e x - 
x x = %e - %e x = sinh(x) (%o18) sinh(x) |

Not sure why there’s extra output. Use |list_converters()| to see what 
conversions it can do.

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