How to plot sin(xy)=sin(x)+sin(y)?

It is easy to plot y=sin(x), but how to sin(xy)=sin(x)+sin(y)?

[chethan]

fimplicit(@(x,y) sin(x.*y) - sin(x) - sin(y))

Answer 1

[John D'Errico]

This is called an implicit function. Use fimplicit. Again, easy.

fimplicit(@(x,y) sin(x.*y) - sin(x) - sin(y))

[Simple Life]

That's it! Thanks.

Answer 2

[Carlos Guerrero García]

"contour" command provides another way to plot an implicit function defined by an expression like F(x,y)=0. For the implicit function in this question, the following code can also be used:

[x,y]=meshgrid(-5:0.01:5); % Establising the canvas...
contour(x,y,sin(x.*y)-sin(x)-sin(y),[0 0]) % ...for plotting sin(xy)-sin(x)-sin(y)=0