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Re: symbolic solution (ArcTan)

  • To: mathgroup at
  • Subject: [mg33328] Re: symbolic solution (ArcTan)
  • From: "Chris Becker" <cmb5199 at>
  • Date: Sat, 16 Mar 2002 01:40:04 -0500 (EST)
  • References: <a6n36t$46g$>
  • Sender: owner-wri-mathgroup at

As far as I know, any equation with a trig function of the form Sin[x]=x,
there is no symbolic solution. The same problem arises with Exp[x]=x,
however there is a function for this one known as the ProductLog or tree
function but no an elementary solution.

I'm not an expert so someone correct me if I'm wrong.

"Paul" <gleam at> wrote in message
news:a6n36t$46g$1 at
> Is it possible to find an exact symbolic solution for x in ( x ==
> ArcTan[5 - Pi + x] )?
> I know that ( FindRoot[x == ArcTan[5 - Pi + x], {x, 1}] ) yields a
> numeric solution ~= 1.2605, but again, I'd like to find an exact
> symbolic solution if possible.
> Paul

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