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Re: A strange bug in Solve



Andrzej Kozlowski wrote:

> I have long ago learned to be careful when making claims about kernel bugs
> in Mathematica, but this time I am pretty sure I have found a fairly serious
> one, even though it looks rather strange.
>
> I asked Mathematica to solve a system of two trigonometric equations:
>
> In[1]:=
> eqns = {2*Cos[2*t]*Cos[u/2] + Cos[t]*Sin[u/2] == 0,
>     (Cos[u/2]*Sin[t])/2 - (Sin[2*t]*Sin[u/2])/2 == 0};
>
> To my surprise Solve returned the empty list (I knew these equations do have
> solutions for geometric reasons):
>
> In[2]:=
> Solve[eqns, {u, t}]
> Out[2]=
> {}
>

When I tried this problem using Mathematica 3.0 for Windows it found 8 solutions
and also gave the Solve::ifun message. There was no need for Simplify.



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