TITLE: What numerical methods can solve $\sin(x) + \sin(y) = \sin(xy)$
QUESTION [7 upvotes]: Here is a nice graph representing the solution: wolframalpha.
I wish to draw such a graph myself but don't have any idea which methods exist and which of them are more appropriate for equations of this kind.

REPLY [4 votes]: Note that the plot from Wolfram Alpha isn't particularly good; you can see a lot of jagged artifacts all over the place, presumably due to insufficient initial sampling.  Here's a better one from Maple, made using

plots:-implicitplot(sin(x)+sin(y)-sin(x*y), x=-5..15, y=-10..10, grid=[100,100], gridrefine=2);