El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{12 \tan{\left(2 x \right)}}{\sin{\left(x \right)}} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución numérica$$x_{1} = 4.71238898038469$$
$$x_{2} = -108.384946548848$$
$$x_{3} = -89.5353906273091$$
$$x_{4} = 64.4026493985908$$
$$x_{5} = 70.6858347057703$$
$$x_{6} = 36.1283155162826$$
$$x_{7} = -98.9601685880785$$
$$x_{8} = 48.6946861306418$$
$$x_{9} = -58.1194640914112$$
$$x_{10} = 7.85398163397448$$
$$x_{11} = 39.2699081698724$$
$$x_{12} = -95.8185759344887$$
$$x_{13} = -1.5707963267949$$
$$x_{14} = -23.5619449019235$$
$$x_{15} = 23.5619449019235$$
$$x_{16} = 161.792021659874$$
$$x_{17} = 61.261056745001$$
$$x_{18} = 29.845130209103$$
$$x_{19} = -32.9867228626928$$
$$x_{20} = -51.8362787842316$$
$$x_{21} = -80.1106126665397$$
$$x_{22} = -83.2522053201295$$
$$x_{23} = 67.5442420521806$$
$$x_{24} = 92.6769832808989$$
$$x_{25} = -39.2699081698724$$
$$x_{26} = -325.154839646544$$
$$x_{27} = 86.3937979737193$$
$$x_{28} = 45.553093477052$$
$$x_{29} = -67.5442420521806$$
$$x_{30} = 51.8362787842316$$
$$x_{31} = 76.9690200129499$$
$$x_{32} = -26.7035375555132$$
$$x_{33} = 234.04865269244$$
$$x_{34} = 95.8185759344887$$
$$x_{35} = -86.3937979737193$$
$$x_{36} = -10.9955742875643$$
$$x_{37} = -36.1283155162826$$
$$x_{38} = -7.85398163397448$$
$$x_{39} = -14.1371669411541$$
$$x_{40} = -17.2787595947439$$
$$x_{41} = 20.4203522483337$$
$$x_{42} = -48.6946861306418$$
$$x_{43} = -45.553093477052$$
$$x_{44} = 14.1371669411541$$
$$x_{45} = -73.8274273593601$$
$$x_{46} = 26.7035375555132$$
$$x_{47} = 89.5353906273091$$
$$x_{48} = 80.1106126665397$$
$$x_{49} = 73.8274273593601$$
$$x_{50} = 58.1194640914112$$
$$x_{51} = -61.261056745001$$
$$x_{52} = 1.5707963267949$$
$$x_{53} = -20.4203522483337$$
$$x_{54} = -42.4115008234622$$
$$x_{55} = 42.4115008234622$$
$$x_{56} = -130.376095123976$$
$$x_{57} = -64.4026493985908$$
$$x_{58} = -29.845130209103$$