El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin^{2}{\left(x \right)} \cos{\left(x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
$$x_{2} = - \frac{\pi}{2}$$
$$x_{3} = \frac{\pi}{2}$$
Solución numérica$$x_{1} = 73.8274273593601$$
$$x_{2} = -89.5353906273091$$
$$x_{3} = 42.4115008234622$$
$$x_{4} = -43.9822971746609$$
$$x_{5} = 14.1371669411541$$
$$x_{6} = 12.5663704724455$$
$$x_{7} = -1.5707963267949$$
$$x_{8} = 84.8230015887783$$
$$x_{9} = 78.5398162040055$$
$$x_{10} = -94.2477794692392$$
$$x_{11} = -207.34511550934$$
$$x_{12} = -53.407075257786$$
$$x_{13} = -67.5442420521806$$
$$x_{14} = -78.5398162373076$$
$$x_{15} = 37.6991119937168$$
$$x_{16} = -21.9911485864718$$
$$x_{17} = 43.9822971001043$$
$$x_{18} = 43.9822971693493$$
$$x_{19} = -80.1106126665397$$
$$x_{20} = 15.7079634169143$$
$$x_{21} = 72.2566310277219$$
$$x_{22} = 53.4070751278617$$
$$x_{23} = 36.1283155162826$$
$$x_{24} = 50.2654819973737$$
$$x_{25} = -34.5575191076725$$
$$x_{26} = 97.38937222667$$
$$x_{27} = -21.9911486312213$$
$$x_{28} = 95.8185759344887$$
$$x_{29} = -12.5663705453118$$
$$x_{30} = 50.2654824463642$$
$$x_{31} = 9.42477801500462$$
$$x_{32} = 9.42477806710815$$
$$x_{33} = 94.2477796093527$$
$$x_{34} = -43.982296876345$$
$$x_{35} = 28.2743338652459$$
$$x_{36} = -29.845130209103$$
$$x_{37} = 0$$
$$x_{38} = 20.4203522483337$$
$$x_{39} = -56.5486676717583$$
$$x_{40} = -69.1150382393654$$
$$x_{41} = -37.6991118769198$$
$$x_{42} = 56.5486676266806$$
$$x_{43} = -25.1327411700478$$
$$x_{44} = -28.2743337371269$$
$$x_{45} = 7.85398163397448$$
$$x_{46} = -3.14159262638665$$
$$x_{47} = 87.964594335453$$
$$x_{48} = 65.9734451192804$$
$$x_{49} = 6.28318528433976$$
$$x_{50} = 21.9911485851767$$
$$x_{51} = -65.9734457652028$$
$$x_{52} = -58.1194640914112$$
$$x_{53} = -72.2566308917313$$
$$x_{54} = 18.8495559220487$$
$$x_{55} = -59.6902604573056$$
$$x_{56} = 100.530964781462$$
$$x_{57} = -31.4159266812001$$
$$x_{58} = -14.1371669411541$$
$$x_{59} = -81.6814090375457$$
$$x_{60} = -51.8362787842316$$
$$x_{61} = -97.389372410446$$
$$x_{62} = -50.2654823143599$$
$$x_{63} = -47.1238897080294$$
$$x_{64} = 58.1194640914112$$
$$x_{65} = -15.7079632963762$$
$$x_{66} = 81.6814091468681$$
$$x_{67} = -87.9645943590963$$
$$x_{68} = 75.3982236793524$$
$$x_{69} = -95.8185759344887$$
$$x_{70} = -36.1283155162826$$
$$x_{71} = -9.42477810445402$$
$$x_{72} = 86.3937979737193$$
$$x_{73} = -65.9734453602046$$
$$x_{74} = 91.1061875857656$$
$$x_{75} = -23.5619449019235$$
$$x_{76} = 59.6902605703693$$
$$x_{77} = -28.2743341715057$$
$$x_{78} = -7.85398163397448$$
$$x_{79} = 80.1106126665397$$
$$x_{80} = 31.4159265728873$$
$$x_{81} = 40.8407044744738$$
$$x_{82} = 29.845130209103$$
$$x_{83} = -73.8274273593601$$
$$x_{84} = -91.1061867632284$$
$$x_{85} = 51.8362787842316$$
$$x_{86} = 94.2477792514877$$
$$x_{87} = -45.553093477052$$
$$x_{88} = -100.530964804106$$
$$x_{89} = -6.28318516003462$$
$$x_{90} = 62.8318530302311$$
$$x_{91} = 65.9734457527245$$
$$x_{92} = 34.5575190494922$$
$$x_{93} = -75.398223834204$$
$$x_{94} = 64.4026493985908$$