File:Folium of Descartes Tangential Angle.svg

DescriptionFolium of Descartes Tangential Angle.svg	English: A graph of the tangnetial angle of the parametric Folium of Descartes, φ(t): ${\displaystyle \phi (t)={\frac {1}{2}}\left[\pi +\tan ^{-1}\left({\frac {1-2t^{3}}{t^{4}-2t}}\right)-\tan ^{-1}\left({\frac {2t^{3}-1}{t^{4}-2t}}\right)\right]}$
Date	27 February 2009
Source	Own work
Author	Inductiveload
Permission (Reusing this file)	Public domainPublic domainfalsefalse I, the copyright holder of this work, release this work into the public domain. This applies worldwide. In some countries this may not be legally possible; if so: I grant anyone the right to use this work for any purpose, without any conditions, unless such conditions are required by law.

phi[t_] = 
  1/2 (Pi + ArcTan[(1 - 2 t^3)/(t^4 - 2 t)] - 
     ArcTan[(2 t^3 - 1)/(t^4 - 2 t)]);

Plot[
 phi[t],
 {t, -5.5, 5.5},
 PlotRange -> {0, 4}]