Keywords: Legendre(4,0) Cos(th).svg Legendre Polynomial of cos with l 4 m 0 Own Inkscape 2007-05-24 Legendre Polynomial of cos with l 4 m 0 - Equation <math>Y_4 0 \left \theta \right L_4 0\left \cos \theta \right </math> - Co-ordinate System Cartesian - X Range 0 2 - Y Range -1 1 - 2 - colspan 2 Points of Interest in this Range - Maxima <math>\left 0 1 \right \ </math> <math>\left \pi 1 \right \ </math> <math>\left 2\pi 1 \right \ </math> <br> <math>\left \frac \pi 2 \frac 3 8 \right \ </math> <math>\left \frac 3\pi 2 \frac 3 8 \right \ </math> - Minima <math>\cos \left \theta \right \pm \sqrt \frac 3 7 \ \quad Y_4 0 -\frac 3 7 </math> Spherical harmonics |