El gráfico de la función cruce el eje T con f = 0
o sea hay que resolver la ecuación:
$$3 - 4 \sin^{2}{\left(t \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje T:
Solución analítica$$t_{1} = - \frac{\pi}{3}$$
$$t_{2} = \frac{\pi}{3}$$
$$t_{3} = \frac{2 \pi}{3}$$
$$t_{4} = \frac{4 \pi}{3}$$
Solución numérica$$t_{1} = 60.7374579694027$$
$$t_{2} = 11.5191730631626$$
$$t_{3} = -14.6607657167524$$
$$t_{4} = -98.4365698124802$$
$$t_{5} = -83.7758040957278$$
$$t_{6} = -71.2094334813686$$
$$t_{7} = -32.4631240870945$$
$$t_{8} = -17.8023583703422$$
$$t_{9} = 46.0766922526503$$
$$t_{10} = -26.1799387799149$$
$$t_{11} = -76.4454212373516$$
$$t_{12} = -46.0766922526503$$
$$t_{13} = -35.6047167406843$$
$$t_{14} = 99.4837673636768$$
$$t_{15} = 16.7551608191456$$
$$t_{16} = 82.7286065445312$$
$$t_{17} = 98.4365698124802$$
$$t_{18} = -13.6135681655558$$
$$t_{19} = 79.5870138909414$$
$$t_{20} = -294.262511886244$$
$$t_{21} = 39.7935069454707$$
$$t_{22} = 4.18879020478639$$
$$t_{23} = -55.5014702134197$$
$$t_{24} = -85.870199198121$$
$$t_{25} = 17.8023583703422$$
$$t_{26} = 63.8790506229925$$
$$t_{27} = -93.2005820564972$$
$$t_{28} = 96.342174710087$$
$$t_{29} = -90.0589894029074$$
$$t_{30} = 70.162235930172$$
$$t_{31} = 19.8967534727354$$
$$t_{32} = 85.870199198121$$
$$t_{33} = 52.3598775598299$$
$$t_{34} = -57.5958653158129$$
$$t_{35} = 1515.29485658148$$
$$t_{36} = 10.471975511966$$
$$t_{37} = -4.18879020478639$$
$$t_{38} = 54.4542726622231$$
$$t_{39} = -30.3687289847013$$
$$t_{40} = -68.0678408277789$$
$$t_{41} = -70.162235930172$$
$$t_{42} = -2.0943951023932$$
$$t_{43} = -92.1533845053006$$
$$t_{44} = -99.4837673636768$$
$$t_{45} = 41.8879020478639$$
$$t_{46} = -77.4926187885482$$
$$t_{47} = -54.4542726622231$$
$$t_{48} = -378.038315981972$$
$$t_{49} = 48.1710873550435$$
$$t_{50} = 20.943951023932$$
$$t_{51} = -10.471975511966$$
$$t_{52} = 55.5014702134197$$
$$t_{53} = 83.7758040957278$$
$$t_{54} = 68.0678408277789$$
$$t_{55} = 74.3510261349584$$
$$t_{56} = -48.1710873550435$$
$$t_{57} = 24.0855436775217$$
$$t_{58} = 61.7846555205993$$
$$t_{59} = 32.4631240870945$$
$$t_{60} = 38.7463093942741$$
$$t_{61} = -61.7846555205993$$
$$t_{62} = 92.1533845053006$$
$$t_{63} = -41.8879020478639$$
$$t_{64} = 30.3687289847013$$
$$t_{65} = -96.342174710087$$
$$t_{66} = -33.5103216382911$$
$$t_{67} = 77.4926187885482$$
$$t_{68} = -27.2271363311115$$
$$t_{69} = -11.5191730631626$$
$$t_{70} = -24.0855436775217$$
$$t_{71} = 8.37758040957278$$
$$t_{72} = -79.5870138909414$$
$$t_{73} = 76.4454212373516$$
$$t_{74} = 33.5103216382911$$
$$t_{75} = -5.23598775598299$$
$$t_{76} = -60.7374579694027$$
$$t_{77} = -19.8967534727354$$
$$t_{78} = -39.7935069454707$$
$$t_{79} = 26.1799387799149$$
$$t_{80} = -63.8790506229925$$
$$t_{81} = 2.0943951023932$$
$$t_{82} = 90.0589894029074$$
$$t_{83} = -49.2182849062401$$