El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin^{3}{\left(5 x - 2 \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \frac{2}{5}$$
$$x_{2} = \frac{2}{5} + \frac{\pi}{5}$$
Solución numérica$$x_{1} = 56.3203331676813$$
$$x_{2} = -47.9805334406686$$
$$x_{3} = 17.9929213101649$$
$$x_{4} = -27.8743335126807$$
$$x_{5} = 88.3645760232726$$
$$x_{6} = -64.9451306033785$$
$$x_{7} = -58.0336124310341$$
$$x_{8} = -5.88318974968709$$
$$x_{9} = -37.9274459889861$$
$$x_{10} = 58.2053156657613$$
$$x_{11} = -69.9716846919838$$
$$x_{12} = 100.302633593533$$
$$x_{13} = 14.2230145742695$$
$$x_{14} = -39.8123722771965$$
$$x_{15} = -2.11325522301542$$
$$x_{16} = 41.8690358987686$$
$$x_{17} = -51.7504379348072$$
$$x_{18} = 26.1610735866472$$
$$x_{19} = 6.05485202549148$$
$$x_{20} = -59.9185940544292$$
$$x_{21} = -75.6265584740171$$
$$x_{22} = 12.3380337267844$$
$$x_{23} = -61.8035220957739$$
$$x_{24} = 39.9840728789649$$
$$x_{25} = -93.8477675339649$$
$$x_{26} = 60.0902465398331$$
$$x_{27} = 16.1079546485583$$
$$x_{28} = 68.2583991206449$$
$$x_{29} = 4.16992573691222$$
$$x_{30} = 0.400010513676673$$
$$x_{31} = 46.2672482598141$$
$$x_{32} = -41.6973543512104$$
$$x_{33} = -71.8566218792172$$
$$x_{34} = -100.130952036197$$
$$x_{35} = 73.9132882655949$$
$$x_{36} = -29.75928704686$$
$$x_{37} = 95.9044369919088$$
$$x_{38} = 70.1433660582624$$
$$x_{39} = -63.6885046630228$$
$$x_{40} = -34.1575348767484$$
$$x_{41} = 2.2849467359931$$
$$x_{42} = 85.851312063523$$
$$x_{43} = -49.8654773317955$$
$$x_{44} = 19.8778912679554$$
$$x_{45} = -36.0424614741576$$
$$x_{46} = -7.76813619656463$$
$$x_{47} = 83.9663755146538$$
$$x_{48} = 7.93983951837362$$
$$x_{49} = 90.249550010611$$
$$x_{50} = 28.0460019225694$$
$$x_{51} = 63.8601769242448$$
$$x_{52} = -85.6796547765197$$
$$x_{53} = -90.0778488572956$$
$$x_{54} = -85.679644630717$$
$$x_{55} = 44.3822851288006$$
$$x_{56} = 94.0194545054267$$
$$x_{57} = 98.4176764652532$$
$$x_{58} = -95.7327396855253$$
$$x_{59} = 24.2760974561961$$
$$x_{60} = -25.9893819482008$$
$$x_{61} = -53.635411917255$$
$$x_{62} = 80.1964658484514$$
$$x_{63} = -81.9097414001963$$
$$x_{64} = 72.0283032537034$$
$$x_{65} = -31.6442640821324$$
$$x_{66} = 77.0548570291252$$
$$x_{67} = -43.5823114884488$$
$$x_{68} = 22.3911448489415$$
$$x_{69} = -78.1398110040981$$
$$x_{70} = 61.9752243009401$$
$$x_{71} = 38.0991000716392$$
$$x_{72} = 48.1522204051237$$
$$x_{73} = -17.8212229472868$$
$$x_{74} = -46.095550950221$$
$$x_{75} = 82.0813938866733$$
$$x_{76} = -80.0247636450674$$
$$x_{77} = -24.1044027478404$$
$$x_{78} = 36.2141652155043$$
$$x_{79} = 29.9309894938371$$
$$x_{80} = -68.0866996771902$$
$$x_{81} = -19.7062038752431$$
$$x_{82} = 92.1345106043532$$
$$x_{83} = -97.6177028054614$$
$$x_{84} = -56.1486758568885$$
$$x_{85} = -83.7946722788892$$
$$x_{86} = -73.7415888247539$$
$$x_{87} = 66.3734294642724$$
$$x_{88} = 50.037152358255$$
$$x_{89} = 78.3114832814753$$
$$x_{90} = -9.65311544843237$$
$$x_{91} = -91.9628355868721$$
$$x_{92} = 51.9221390860753$$
$$x_{93} = -15.9362972859796$$
$$x_{94} = 34.329183295881$$
$$x_{95} = -3.9982303294006$$
$$x_{96} = -14.0513108136201$$
$$x_{97} = -21.5911330507021$$