El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin^{3}{\left(2 x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
$$x_{2} = \frac{\pi}{2}$$
Solución numérica$$x_{1} = -36.1282783755472$$
$$x_{2} = 95.8186236594161$$
$$x_{3} = -51.8362627762994$$
$$x_{4} = -80.1105796228002$$
$$x_{5} = 18.8495547811248$$
$$x_{6} = -87.9646059112393$$
$$x_{7} = 73.8274734896477$$
$$x_{8} = -12.5664201121853$$
$$x_{9} = 80.1106037320479$$
$$x_{10} = -1.57083712711347$$
$$x_{11} = -45.5530734085886$$
$$x_{12} = 28.2743275435142$$
$$x_{13} = -95.8185604572582$$
$$x_{14} = 64.4026136371408$$
$$x_{15} = 6.28317669991181$$
$$x_{16} = -7.85396964398706$$
$$x_{17} = 94.2477801894765$$
$$x_{18} = -58.1194289615388$$
$$x_{19} = -43.9823032242978$$
$$x_{20} = 75.3982550672969$$
$$x_{21} = -56.5486851591306$$
$$x_{22} = -15.7079741153866$$
$$x_{23} = 72.2566292958971$$
$$x_{24} = -45.5531374165576$$
$$x_{25} = -17.2788129093397$$
$$x_{26} = -89.5354375223026$$
$$x_{27} = 21.9911516409413$$
$$x_{28} = -39.2699584208524$$
$$x_{29} = 0$$
$$x_{30} = -59.6902756491872$$
$$x_{31} = 42.4114633393296$$
$$x_{32} = 29.8451729503133$$
$$x_{33} = -73.8274111993645$$
$$x_{34} = -61.2611031899243$$
$$x_{35} = 40.8407298905782$$
$$x_{36} = 43.9823032463116$$
$$x_{37} = 20.4203130843561$$
$$x_{38} = -23.5619872943506$$
$$x_{39} = -67.5442874928606$$
$$x_{40} = -83.2522470339395$$
$$x_{41} = -3.14157070124788$$
$$x_{42} = -29.8451154936596$$
$$x_{43} = 87.9646062618766$$
$$x_{44} = 58.1194604142255$$
$$x_{45} = 62.8319042110107$$
$$x_{46} = 36.1283177359717$$
$$x_{47} = 50.265478410943$$
$$x_{48} = -34.5575534560323$$
$$x_{49} = 51.8363232535927$$
$$x_{50} = -100.530953779175$$
$$x_{51} = 97.3893536226034$$
$$x_{52} = 31.4158857180735$$
$$x_{53} = -21.9911516395657$$
$$x_{54} = -78.5398182899495$$
$$x_{55} = 14.1371746616643$$
$$x_{56} = -81.6814263637279$$
$$x_{57} = 7.85402257865455$$
$$x_{58} = 65.9734547917135$$
$$x_{59} = 86.3937639771802$$
$$x_{60} = -37.6991248991848$$
$$x_{61} = 53.4070752212189$$
$$x_{62} = -65.9734546803625$$
$$x_{63} = -14.1371278627626$$