El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$- \tan{\left(x + \frac{11 \frac{1}{\pi}}{2} \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{11}{2 \pi}$$
Solución numérica$$x_{1} = -33.1666309099088$$
$$x_{2} = 39.0900001226565$$
$$x_{3} = -1.75070437401085$$
$$x_{4} = -48.8745941778577$$
$$x_{5} = 10.8156662403483$$
$$x_{6} = -83.4321133673455$$
$$x_{7} = -30.025038256319$$
$$x_{8} = -89.7152986745251$$
$$x_{9} = -61.4409647922169$$
$$x_{10} = 26.5236295082973$$
$$x_{11} = 61.081148697785$$
$$x_{12} = 29.6652221618871$$
$$x_{13} = 54.7979633906054$$
$$x_{14} = 1.39088827957894$$
$$x_{15} = 89.3554825800932$$
$$x_{16} = -74.0073354065761$$
$$x_{17} = -39.4498162170884$$
$$x_{18} = -45.733001524268$$
$$x_{19} = 35.9484074690667$$
$$x_{20} = 7.67407358675853$$
$$x_{21} = 51.6563707370156$$
$$x_{22} = 4.53248093316874$$
$$x_{23} = 32.8068148154769$$
$$x_{24} = 98.7802605408625$$
$$x_{25} = 64.2227413513748$$
$$x_{26} = -4.89229702760064$$
$$x_{27} = -20.6002602955496$$
$$x_{28} = 67.3643340049646$$
$$x_{29} = 70.5059266585544$$
$$x_{30} = -36.3082235634986$$
$$x_{31} = 92.4970752336829$$
$$x_{32} = 13.9572588939381$$
$$x_{33} = 57.9395560441952$$
$$x_{34} = -14.31707498837$$
$$x_{35} = -8.03388968119044$$
$$x_{36} = -67.7241500993965$$
$$x_{37} = -52.0161868314475$$
$$x_{38} = 76.789111965734$$
$$x_{39} = 83.0722972729136$$
$$x_{40} = -17.4586676419598$$
$$x_{41} = 45.373185429836$$
$$x_{42} = 79.9307046193238$$
$$x_{43} = -86.5737060209353$$
$$x_{44} = 23.3820368547075$$
$$x_{45} = -55.1577794850373$$
$$x_{46} = 42.2315927762463$$
$$x_{47} = -77.1489280601659$$
$$x_{48} = 95.6386678872727$$
$$x_{49} = -99.1400766352944$$
$$x_{50} = 48.5147780834258$$
$$x_{51} = 73.6475193121442$$
$$x_{52} = -64.5825574458067$$
$$x_{53} = -70.8657427529863$$
$$x_{54} = 17.0988515475279$$
$$x_{55} = 20.2404442011177$$
$$x_{56} = -26.8834456027292$$
$$x_{57} = -42.5914088706782$$
$$x_{58} = -58.2993721386271$$
$$x_{59} = -11.1754823347802$$
$$x_{60} = -95.9984839817047$$
$$x_{61} = -80.2905207137557$$
$$x_{62} = 86.2138899265034$$
$$x_{63} = -23.7418529491394$$
$$x_{64} = -92.8568913281149$$