Re: Re: System for which Solve and NSolve both fail
- To: mathgroup at smc.vnet.net
- Subject: [mg30656] Re: [mg30650] Re: System for which Solve and NSolve both fail
- From: Andrzej Kozlowski <andrzej at tuins.ac.jp>
- Date: Mon, 3 Sep 2001 20:32:30 -0400 (EDT)
- Sender: owner-wri-mathgroup at wolfram.com
The passage below from my earlier message on this topic may be a bit
misleading. Of course Mathematica can solve the equation below because
the transcendental functions Sin and Cos are algebraically related (even
though the relationship in not explicit). As far as I know only all
equations involving transcendental functions that Mathematica can solve
are of this type.
On Sunday, September 2, 2001, at 05:45 PM, Andrzej Kozlowski wrote:
>
> One exception is trigonometric functions, in solving which Mathematica
> uses some non algebraic trigonometric identities, e.g:
>
> In[5]:=
> Solve[Sin[x]==Cos[x],x]
>
> From In[5]:=
> Solve::ifun: Inverse functions are being used by Solve, so some
> solutions may \
> not be found.
>
> Out[5]=
> 3 Pi Pi
> {{x -> -(----)}, {x -> --}}
>