Inverse trigonometric functions



Lo?c wrote:
> Hello,
>
> Does anyone know if it's possible with Maxima to compute expressions
>   

Please define what you mean by "compute expressions".

Do you mean "prove that identities are true"
or do you mean "invent new formulas"
or do you mean confirm them numerically?

> such as Machin's formula:
> pi/4=4arctan(1/5)-arctan(1/239)
>
> or formula such as:
>
> cos(1/2*arccos(1/3))=sqrt(6)/3
>
> If it's impossible, 

In general, proving that f(x)=0 is recursively undecidable, as shown by 
Daniel Richardson in 1968.
So yes, some interpretation of your question leads to an impossibility.
> does anyone know if someone plan to implement it in
> Maxima?
>
> Best
>
> Lo?c
>
>
>
>
>
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