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From: M.A.Fajjal on 13 Aug 2010 16:13
> "M.A.Fajjal" <h2maf(a)yahoo.com> writes:
>
> > How many exact possible solution for
> >
> > sin(b)*sin(a+(1/2)*b) =
> sin(a)*sin((1/2)*a+b)=sin(b+a)*cos((a-b)*(1/2))
> >
> > The solutions are not important. But the number of
> solutions
> >
> > How to confirm this number
>
> Infinitely many, of course, since (a=0,b=0) is a
> solution and the
> expressions are all periodic in a and b with period 4
> pi.
> Or did you want the number of solutions in, say, [0,
> 4 pi) x [0, 4 pi) ?
> I think I counted 24 (graphically).
> --
> Robert Israel
> israel(a)math.MyUniversitysInitials.ca
> Department of Mathematics
> http://www.math.ubc.ca/~israel
> University of British Columbia Vancouver,
> BC, Canada

Thanks Robert

Is there any analytic way to prove that there is one and only one solution in (0,PI)
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