El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin^{5}{\left(3 x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
$$x_{2} = \frac{\pi}{3}$$
Solución numérica$$x_{1} = 94.2478033784411$$
$$x_{2} = -85.8699766269158$$
$$x_{3} = 111.003174734303$$
$$x_{4} = -81.6821345500015$$
$$x_{5} = 30.3675090543952$$
$$x_{6} = 65.9737770106103$$
$$x_{7} = -21.9912591717534$$
$$x_{8} = 90.0582749103318$$
$$x_{9} = 68.0670422496665$$
$$x_{10} = 48.171880222369$$
$$x_{11} = 2.09353698276912$$
$$x_{12} = 81.6803796892807$$
$$x_{13} = -97.3884081956497$$
$$x_{14} = 26.1806631313926$$
$$x_{15} = -74.3507418689879$$
$$x_{16} = -13.6149489035884$$
$$x_{17} = -63.8792391990682$$
$$x_{18} = 43.9825182253445$$
$$x_{19} = 28.2740737065627$$
$$x_{20} = -46.0757531151439$$
$$x_{21} = -52.3607238965158$$
$$x_{22} = -19.8975154454628$$
$$x_{23} = -37.6996532604484$$
$$x_{24} = -17.8018038437133$$
$$x_{25} = 8.37627899055724$$
$$x_{26} = -43.9825182168424$$
$$x_{27} = -90.0582601023278$$
$$x_{28} = 52.3587411180725$$
$$x_{29} = -2.09325452707278$$
$$x_{30} = 6.28283091388343$$
$$x_{31} = -83.7755282745447$$
$$x_{32} = -68.0670057166761$$
$$x_{33} = -87.9650347465003$$
$$x_{34} = 4.18943293629322$$
$$x_{35} = -15.7084114563314$$
$$x_{36} = -53.408034834963$$
$$x_{37} = 46.0758333212778$$
$$x_{38} = 19.8979908455655$$
$$x_{39} = 21.9912591718836$$
$$x_{40} = -96.3411656824872$$
$$x_{41} = -39.793043933014$$
$$x_{42} = 92.1542102410958$$
$$x_{43} = 24.0846606457516$$
$$x_{44} = 0$$
$$x_{45} = -59.6908943451113$$
$$x_{46} = -61.7842856843277$$
$$x_{47} = -65.9737769105601$$
$$x_{48} = 87.9650353343723$$
$$x_{49} = 70.163071164087$$
$$x_{50} = 50.2653167905102$$
$$x_{51} = 72.2565600488359$$
$$x_{52} = -41.8884470208003$$
$$x_{53} = 74.3499750125988$$
$$x_{54} = -75.3984300521231$$
$$x_{55} = 41.8892332139337$$
$$x_{56} = -24.0845026146699$$
$$x_{57} = 96.3412105691463$$