I have this equation: $x^4 + y^4 = x^2 + y^2$ and I need to convert it to a polar one...
I have tried and the result is $r = \sqrt{\frac{1}{\cos^4\theta + \sin^4\theta}}$
Is this ok?
I have this equation: $x^4 + y^4 = x^2 + y^2$ and I need to convert it to a polar one...
I have tried and the result is $r = \sqrt{\frac{1}{\cos^4\theta + \sin^4\theta}}$
Is this ok?
It is fine, though there is also the point $r=0$, i.e. $(0,0)$.
Here is a picture, with the curve passing through the eight obvious points.