El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$- \frac{x}{\tan{\left(x \right)}} + \left(1 + \frac{1}{\sin{\left(x \right)}}\right) = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución numérica$$x_{1} = -1.5707963267949$$
$$x_{2} = -64.4026493985908$$
$$x_{3} = 80.1106126665397$$
$$x_{4} = -61.2283950657729$$
$$x_{5} = -58.1194640914112$$
$$x_{6} = 61.261056745001$$
$$x_{7} = -42.3643000278463$$
$$x_{8} = -36.0728864084812$$
$$x_{9} = 32.9259992567895$$
$$x_{10} = -4.2502319840436$$
$$x_{11} = 26.6284652377851$$
$$x_{12} = -73.8003288675086$$
$$x_{13} = -39.2699081698724$$
$$x_{14} = 73.8274273593601$$
$$x_{15} = 42.4115008234622$$
$$x_{16} = 67.5442420521806$$
$$x_{17} = -98.9399549958912$$
$$x_{18} = -32.9867228626928$$
$$x_{19} = 20.3220161353369$$
$$x_{20} = -67.5146210051587$$
$$x_{21} = 4.71238898038469$$
$$x_{22} = 64.3715822869017$$
$$x_{23} = -86.3706429922226$$
$$x_{24} = 36.1283155162826$$
$$x_{25} = -70.6858347057703$$
$$x_{26} = -26.7035375555132$$
$$x_{27} = 10.9955742875643$$
$$x_{28} = 39.2189234266452$$
$$x_{29} = 89.5130484454873$$
$$x_{30} = -17.1623570970183$$
$$x_{31} = 76.9430282181184$$
$$x_{32} = 23.5619449019235$$
$$x_{33} = -92.6553987604331$$
$$x_{34} = -89.5353906273091$$
$$x_{35} = 83.2281761528687$$
$$x_{36} = 17.2787595947439$$
$$x_{37} = 13.9944961126907$$
$$x_{38} = -54.9414730837878$$
$$x_{39} = -48.6535849776189$$
$$x_{40} = 45.5091533451563$$
$$x_{41} = 70.6575310493539$$
$$x_{42} = 54.9778714378214$$
$$x_{43} = -7.85398163397448$$
$$x_{44} = -10.8111042087213$$
$$x_{45} = 48.6946861306418$$
$$x_{46} = -14.1371669411541$$
$$x_{47} = -51.8362787842316$$
$$x_{48} = 92.6769832808989$$
$$x_{49} = 58.0850352160434$$
$$x_{50} = 86.3937979737193$$
$$x_{51} = 51.7976718062027$$
$$x_{52} = -76.9690200129499$$
$$x_{53} = 95.7976993646524$$
$$x_{54} = -80.0856406984281$$
$$x_{55} = -20.4203522483337$$
$$x_{56} = -29.7779917432681$$
$$x_{57} = -83.2522053201295$$
$$x_{58} = 98.9601685880785$$
$$x_{59} = -95.8185759344887$$
$$x_{60} = 7.59205618191083$$
$$x_{61} = 29.845130209103$$
$$x_{62} = -45.553093477052$$
$$x_{63} = -23.4768059032848$$