Question

really hard question: draw the graph(sketch) of
(y^2-1)sin(cosh(x)^3y)=x^2-4

Answer 1

if you're just interested of what it looks like: http://www.wolframalpha.com/input/?i=plot+%28y%5E2-1%29sin%28cosh%28x%29%5E3y%29%3Dx%5E2-4

Answer 2

looks nice, how to mentally draw it?

Answer 3

Sorry, my input was wrong. I think this is what you mean: http://www.wolframalpha.com/input/?i=plot+%28y%5E2-1%29sin%28cosh%28x%29%5E%283y%29%29%3Dx%5E2-4

Answer 4

\[(y^2-1)\sin(\cosh(x)^3y)=x^2-4\]
\[y^2=x^2-4+\sin(\cosh(x)^3y)\]
y^2=x^2-4 is the equation for a hyperbola ( http://www.cs.cornell.edu/w8/~andru/cgi-bin/relplot/plot.pl), so this is just a pimped up hyperbola that varies crazily for x and y.

Answer 5

Well, that sin(cosh) mess is going to vary between 1 and -1, maybe that helps a bit....