#2844 solve(x*acot(x),x) should have a solution

[kcrisman]

(%i1) solve(acot(x),x);

cot: argument 0 isn't in the domain of cot.
 -- an error. To debug this try: debugmode(true);
(%i2) solve(x*acot(x),x);

cot: argument 0 isn't in the domain of cot.
 -- an error. To debug this try: debugmode(true);

But x=0 clearly is a solution to the latter, which is defined for all real input.