I'm sorry for the ambiguity here but I've recently discovered a function which plots, what seems to be either a fractal or simply noise in a selected area. Can anyone explain this function:
$\sqrt{x^2+y^2} = \frac{1}{(\cos(\tan^{-1}(x/y)+\tan^{-1}(y/x)))}$
Graph it and see what you make of it.
I was trying to find the locus of a square, but instead found the equation of parallel lines through $abs(x) = a$
$\sqrt{x^2+y^2} = \frac{a}{\cos(\tan^{-1}(x/y))}$
and then added in an extra $\tan^{-1}(y/x)$, the reciprocal of $\tan^{-1}(x/y)$ and thats how I discovered this strange graph.
I'm in only in high school, so I'm sorry if my question is a a bit simple.