El gráfico de la función cruce el eje T con f = 0
o sea hay que resolver la ecuación:
$$3 \sqrt{2} \sin{\left(t \right)} \cos^{2}{\left(t \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje T:
Solución analítica$$t_{1} = 0$$
$$t_{2} = - \frac{\pi}{2}$$
$$t_{3} = \frac{\pi}{2}$$
Solución numérica$$t_{1} = -31.4159265358979$$
$$t_{2} = 7.85398164444075$$
$$t_{3} = 4.71238883532779$$
$$t_{4} = 20.4203521537986$$
$$t_{5} = 64.4026493118058$$
$$t_{6} = 86.3937978909611$$
$$t_{7} = 26.7035374084741$$
$$t_{8} = -59.6902604182061$$
$$t_{9} = 21.9911485751286$$
$$t_{10} = 43.9822971502571$$
$$t_{11} = 15.707963267949$$
$$t_{12} = 48.6946859820148$$
$$t_{13} = 42.4115007327518$$
$$t_{14} = -53.4070751110265$$
$$t_{15} = -23.561945003804$$
$$t_{16} = -64.4026492408158$$
$$t_{17} = -51.8362786906154$$
$$t_{18} = -39.2699083096144$$
$$t_{19} = -6.28318530717959$$
$$t_{20} = 78.5398163397448$$
$$t_{21} = -20.4203520921076$$
$$t_{22} = -42.4115006663339$$
$$t_{23} = 29.8451303144929$$
$$t_{24} = 23.5619450555027$$
$$t_{25} = 73.8274274722061$$
$$t_{26} = -61.261056881309$$
$$t_{27} = -7.85398150264842$$
$$t_{28} = 7.85398173541774$$
$$t_{29} = 94.2477796076938$$
$$t_{30} = 12.5663706143592$$
$$t_{31} = 81.6814089933346$$
$$t_{32} = 95.8185760508519$$
$$t_{33} = 36.1283160593477$$
$$t_{34} = -72.2566310325652$$
$$t_{35} = 14.1371670924752$$
$$t_{36} = 70.6858345559153$$
$$t_{37} = -89.5353907394375$$
$$t_{38} = 67.5442422018325$$
$$t_{39} = 0$$
$$t_{40} = -50.2654824574367$$
$$t_{41} = -81.6814089933346$$
$$t_{42} = -17.278759737384$$
$$t_{43} = 9.42477796076938$$
$$t_{44} = -70.6858349962623$$
$$t_{45} = -87.9645943005142$$
$$t_{46} = 6.28318530717959$$
$$t_{47} = 92.6769831301454$$
$$t_{48} = -14.13716684381$$
$$t_{49} = -29.8451300981866$$
$$t_{50} = -37.6991118430775$$
$$t_{51} = -1.57079642505341$$
$$t_{52} = 34.5575191894877$$
$$t_{53} = 65.9734457253857$$
$$t_{54} = -83.2522054524035$$
$$t_{55} = -28.2743338823081$$
$$t_{56} = 89.5353907744432$$
$$t_{57} = -86.3937978155375$$
$$t_{58} = -73.8274272804402$$
$$t_{59} = -95.8185758682892$$
$$t_{60} = 72.2566310325652$$
$$t_{61} = -43.9822971502571$$
$$t_{62} = -9.42477796076938$$
$$t_{63} = -75.398223686155$$
$$t_{64} = -97.3893722612836$$
$$t_{65} = -36.128315423197$$
$$t_{66} = 87.9645943005142$$
$$t_{67} = -45.5530935824522$$
$$t_{68} = -80.1106125824842$$
$$t_{69} = 59.6902604182061$$
$$t_{70} = 51.8362788934209$$
$$t_{71} = 100.530964914873$$
$$t_{72} = 28.2743338823081$$
$$t_{73} = 45.5530936288414$$
$$t_{74} = -92.6769836764771$$
$$t_{75} = -94.2477796076938$$
$$t_{76} = -67.5442421609972$$
$$t_{77} = 80.1106131546315$$
$$t_{78} = 1.57079648184495$$
$$t_{79} = -21.9911485751286$$
$$t_{80} = 56.5486677646163$$
$$t_{81} = -65.9734457253857$$
$$t_{82} = -15.707963267949$$
$$t_{83} = -95.818575585294$$
$$t_{84} = 50.2654824574367$$
$$t_{85} = 37.6991118430775$$
$$t_{86} = -58.1194640027517$$