El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\log{\left(\sin{\left(x \right)} + 2 \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{\pi}{2}$$
$$x_{2} = \frac{3 \pi}{2}$$
Solución numérica$$x_{1} = -139.800873418145$$
$$x_{2} = 4.71238924347154$$
$$x_{3} = -89.5353904984413$$
$$x_{4} = 10.9955740038923$$
$$x_{5} = -20.4203520281616$$
$$x_{6} = -45.5530935884903$$
$$x_{7} = -95.8185753131875$$
$$x_{8} = -70.6858350059168$$
$$x_{9} = -45.5530933640655$$
$$x_{10} = 48.6946863880841$$
$$x_{11} = -26.7035372677511$$
$$x_{12} = 29.8451303204847$$
$$x_{13} = -202.632724575148$$
$$x_{14} = 17.2787598851708$$
$$x_{15} = -70.6858344208574$$
$$x_{16} = -39.2699079015721$$
$$x_{17} = 61.2610570379075$$
$$x_{18} = 36.1283150571305$$
$$x_{19} = -102.101761635294$$
$$x_{20} = 67.5442417919924$$
$$x_{21} = -58.1194639992673$$
$$x_{22} = -7.85398110770002$$
$$x_{23} = 1506.39367889224$$
$$x_{24} = 92.6769835322392$$
$$x_{25} = -32.9867225552148$$
$$x_{26} = 80.1106130961309$$
$$x_{27} = -7.85398149849004$$
$$x_{28} = -89.5353907469755$$
$$x_{29} = 651.880475709733$$
$$x_{30} = 36.1283159939869$$
$$x_{31} = -51.8362791493093$$
$$x_{32} = 80.1106121590485$$
$$x_{33} = 54.9778717441002$$
$$x_{34} = -14.1371669912121$$
$$x_{35} = -51.8362786897448$$
$$x_{36} = 29.8451301387744$$
$$x_{37} = -26.7035378566374$$
$$x_{38} = -20.4203524966615$$
$$x_{39} = -39.2699083914945$$
$$x_{40} = 73.8274274797576$$
$$x_{41} = -14.1371668391693$$
$$x_{42} = 80.1106131421429$$
$$x_{43} = 23.5619446474258$$
$$x_{44} = 98.9601683102832$$
$$x_{45} = -76.9690197052025$$
$$x_{46} = 86.3937978882198$$
$$x_{47} = -51.8362782097416$$
$$x_{48} = -58.119464119688$$
$$x_{49} = -1.57079642980418$$
$$x_{50} = -32.9867231490179$$
$$x_{51} = 17.2787592928907$$
$$x_{52} = -296.880505320636$$
$$x_{53} = -4625.99518210013$$
$$x_{54} = 4.71238876434223$$
$$x_{55} = -14.1371656050548$$
$$x_{56} = 42.4115009010169$$
$$x_{57} = -95.8185758681291$$
$$x_{58} = -64.402649184212$$
$$x_{59} = -76.9690204680558$$
$$x_{60} = -7.85398204547391$$
$$x_{61} = 42.4115007290942$$
$$x_{62} = 86.3937980315422$$
$$x_{63} = 98.9601688934168$$
$$x_{64} = -39.269907606843$$
$$x_{65} = 67.5442422833783$$
$$x_{66} = -1.57079623088339$$
$$x_{67} = 54.9778711569931$$
$$x_{68} = -58.1194640057927$$
$$x_{69} = 36.1283157039404$$
$$x_{70} = -83.252205547155$$
$$x_{71} = 61.2610564426608$$
$$x_{72} = 73.8274272701729$$
$$x_{73} = -64.40264964024$$
$$x_{74} = 23.5619451277014$$
$$x_{75} = -83.2522050470229$$
$$x_{76} = -76.9690203017361$$
$$x_{77} = -95.81857625477$$
$$x_{78} = 92.6769830765414$$
$$x_{79} = 48.6946859203545$$
$$x_{80} = 10.9955745945544$$