El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\left(\sin^{6}{\left(x \right)} - 1\right) \left(\cos{\left(x \right)} + 4\right) = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{\pi}{2}$$
$$x_{2} = \frac{\pi}{2}$$
Solución numérica$$x_{1} = -7.85398149747099$$
$$x_{2} = 1.57079639290524$$
$$x_{3} = -86.3937978846265$$
$$x_{4} = 48.6946860792319$$
$$x_{5} = -17.2787597178629$$
$$x_{6} = 14.13716707223$$
$$x_{7} = -73.8274272841489$$
$$x_{8} = -1.57079641443446$$
$$x_{9} = 26.7035374250358$$
$$x_{10} = 73.8274274734201$$
$$x_{11} = 4.71238895065107$$
$$x_{12} = 67.544242183364$$
$$x_{13} = -64.4026492526462$$
$$x_{14} = -26.7035377896992$$
$$x_{15} = -42.4115007443253$$
$$x_{16} = 39.2699084771125$$
$$x_{17} = 7.85398172409645$$
$$x_{18} = -83.2522052829735$$
$$x_{19} = -42.4115008014777$$
$$x_{20} = 45.5530935260908$$
$$x_{21} = 1729.44675598906$$
$$x_{22} = -42.4115005909244$$
$$x_{23} = 23.5619450394742$$
$$x_{24} = 95.8185759825411$$
$$x_{25} = 51.8362788797171$$
$$x_{26} = -23.5619450052638$$
$$x_{27} = -51.8362786866058$$
$$x_{28} = 51.8362784856392$$
$$x_{29} = -61.2610568585148$$
$$x_{30} = -70.6858349997798$$
$$x_{31} = -39.2699081708877$$
$$x_{32} = -67.5442421623009$$
$$x_{33} = -95.8185758659886$$
$$x_{34} = 86.3937978978086$$
$$x_{35} = -36.128315432328$$
$$x_{36} = -45.5530935696087$$
$$x_{37} = 95.8185760345742$$
$$x_{38} = -20.4203521059335$$
$$x_{39} = 89.5353906538714$$
$$x_{40} = 95.8185759552927$$
$$x_{41} = -58.1194640013227$$
$$x_{42} = 64.4026493103057$$
$$x_{43} = -80.1106125896194$$
$$x_{44} = -48.6946861572895$$
$$x_{45} = -89.5353907241281$$
$$x_{46} = 92.6769832130935$$
$$x_{47} = -80.1106127023139$$
$$x_{48} = 20.4203521522769$$
$$x_{49} = 3604.97756999561$$
$$x_{50} = -29.8451301063843$$
$$x_{51} = -14.1371668423562$$
$$x_{52} = 70.6858345698237$$
$$x_{53} = 29.8451303158773$$
$$x_{54} = 42.4115007413752$$