Hi everyone,

Just a very fast question about polar curves analysis.
Ok. So let \rho= f(\theta ) a polar curves.
Let's assume that this function is periodic with period 2 \pi
I know that if I have \rho ( - \theta ) =\rho  (\theta) then, I can just analyse it on [0, \pi] and make a reflexion symmetry with Ox axis.

Now, if I also have \rho ( \pi - \theta) = - \rho (\theta), I also have the same symmetry !
What should I do ? Keep restricting the interval of study (say, [0, \frac{\pi}{2}]) or stay with [0,\pi] ?

Thanks a lot for reading me, and my deep apologies for the few English mistakes I might have written.