Graph of the function intersects the axis X at f = 0
so we need to solve the equation:
$$\sin^{3}{\left(x \right)} = 0$$
Solve this equationThe points of intersection with the axis X:
Analytical solution$$x_{1} = 0$$
$$x_{2} = \pi$$
Numerical solution$$x_{1} = -28.2742627706429$$
$$x_{2} = 87.9646063100383$$
$$x_{3} = -50.2654130938124$$
$$x_{4} = 43.9823032527788$$
$$x_{5} = 65.9734548127967$$
$$x_{6} = -69.1149515823542$$
$$x_{7} = 94.247780189482$$
$$x_{8} = 97.3893978428526$$
$$x_{9} = 72.2566292957527$$
$$x_{10} = -53.4071504072306$$
$$x_{11} = -78.5397992432789$$
$$x_{12} = -81.6814265052127$$
$$x_{13} = -40.8407553983808$$
$$x_{14} = 84.823034075932$$
$$x_{15} = 21.9911516417751$$
$$x_{16} = 59.6903382940834$$
$$x_{17} = -94.2477138117764$$
$$x_{18} = 75.3981609859687$$
$$x_{19} = -43.9823032312938$$
$$x_{20} = 56.5486006603067$$
$$x_{21} = -65.9734547037153$$
$$x_{22} = -91.1060951872411$$
$$x_{23} = -56.5486655300491$$
$$x_{24} = 37.699188061337$$
$$x_{25} = 9.42474281067687$$
$$x_{26} = -75.3983005713641$$
$$x_{27} = -9.42480464038606$$
$$x_{28} = 15.7080378065275$$
$$x_{29} = -97.3894507188702$$
$$x_{30} = -47.1238085269535$$
$$x_{31} = -12.566394491012$$
$$x_{32} = 6.2831766827342$$
$$x_{33} = 81.6814885050503$$
$$x_{34} = 28.2743275366207$$
$$x_{35} = -15.7079508374868$$
$$x_{36} = -119.380533126399$$
$$x_{37} = 78.5397509228736$$
$$x_{38} = 40.8407567654285$$
$$x_{39} = 100.53090120176$$
$$x_{40} = -9.42485002941145$$
$$x_{41} = -6.28311247067328$$
$$x_{42} = 53.407020637795$$
$$x_{43} = -25.1326660873779$$
$$x_{44} = -3.14152433726919$$
$$x_{45} = -34.5575306179909$$
$$x_{46} = 100.531002707477$$
$$x_{47} = 97.389302170591$$
$$x_{48} = -37.6991249589774$$
$$x_{49} = -87.9646059647861$$
$$x_{50} = -72.256563440672$$
$$x_{51} = -15.7079741496884$$
$$x_{52} = 34.5574504140577$$
$$x_{53} = 62.8318959401771$$
$$x_{54} = -31.4160002265554$$
$$x_{55} = 0$$
$$x_{56} = 50.2654784091363$$
$$x_{57} = 31.4158812157011$$
$$x_{58} = -21.9911516404356$$
$$x_{59} = 12.5663001841415$$
$$x_{60} = -59.6902757442614$$
$$x_{61} = 18.8496166426336$$