El gráfico de la función cruce el eje T con f = 0
o sea hay que resolver la ecuación:
$$\cot{\left(3 t \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje T:
Solución analítica$$t_{1} = \frac{\pi}{6}$$
Solución numérica$$t_{1} = -29.845130209103$$
$$t_{2} = 69.6386371545737$$
$$t_{3} = 25.6563400043166$$
$$t_{4} = 22.5147473507269$$
$$t_{5} = -25.6563400043166$$
$$t_{6} = -60.2138591938044$$
$$t_{7} = 29.845130209103$$
$$t_{8} = 84.2994028713261$$
$$t_{9} = 60.2138591938044$$
$$t_{10} = 95.8185759344887$$
$$t_{11} = 31.9395253114962$$
$$t_{12} = 53.9306738866248$$
$$t_{13} = 18.3259571459405$$
$$t_{14} = 44.5058959258554$$
$$t_{15} = -91.6297857297023$$
$$t_{16} = 5.75958653158129$$
$$t_{17} = 9.94837673636768$$
$$t_{18} = 49.7418836818384$$
$$t_{19} = -49.7418836818384$$
$$t_{20} = -14.1371669411541$$
$$t_{21} = 2.61799387799149$$
$$t_{22} = -65.4498469497874$$
$$t_{23} = 42.4115008234622$$
$$t_{24} = 27.7507351067098$$
$$t_{25} = -85.3466004225227$$
$$t_{26} = -31.9395253114962$$
$$t_{27} = -97.9129710368819$$
$$t_{28} = -18.3259571459405$$
$$t_{29} = -43.4586983746588$$
$$t_{30} = -82.2050077689329$$
$$t_{31} = 93.7241808320955$$
$$t_{32} = -19.3731546971371$$
$$t_{33} = 88.4881930761125$$
$$t_{34} = -62.3082542961976$$
$$t_{35} = -80.1106126665397$$
$$t_{36} = 66.497044500984$$
$$t_{37} = -78.0162175641465$$
$$t_{38} = -9.94837673636768$$
$$t_{39} = 16.2315620435473$$
$$t_{40} = 46.6002910282486$$
$$t_{41} = -5.75958653158129$$
$$t_{42} = -100.007366139275$$
$$t_{43} = 20.4203522483337$$
$$t_{44} = -87.4409955249159$$
$$t_{45} = -93.7241808320955$$
$$t_{46} = -40.317105721069$$
$$t_{47} = -73.8274273593601$$
$$t_{48} = 78.0162175641465$$
$$t_{49} = -21.4675497995303$$
$$t_{50} = -67.5442420521806$$
$$t_{51} = -36.1283155162826$$
$$t_{52} = 100.007366139275$$
$$t_{53} = 82.2050077689329$$
$$t_{54} = -75.9218224617533$$
$$t_{55} = -53.9306738866248$$
$$t_{56} = -27.7507351067098$$
$$t_{57} = 36.1283155162826$$
$$t_{58} = 3.66519142918809$$
$$t_{59} = -16.2315620435473$$
$$t_{60} = -56.025068989018$$
$$t_{61} = -84.2994028713261$$
$$t_{62} = -89.5353906273091$$
$$t_{63} = 68.5914396033772$$
$$t_{64} = 24.60914245312$$
$$t_{65} = 7.85398163397448$$
$$t_{66} = 47.6474885794452$$
$$t_{67} = -34.0339204138894$$
$$t_{68} = 14.1371669411541$$
$$t_{69} = 86.3937979737193$$
$$t_{70} = 75.9218224617533$$
$$t_{71} = 97.9129710368819$$
$$t_{72} = 12.0427718387609$$
$$t_{73} = 51.8362787842316$$
$$t_{74} = -63.3554518473942$$
$$t_{75} = -51.8362787842316$$
$$t_{76} = 62.3082542961976$$
$$t_{77} = -1.5707963267949$$
$$t_{78} = -23.5619449019235$$
$$t_{79} = 71.733032256967$$
$$t_{80} = 64.4026493985908$$
$$t_{81} = -12.0427718387609$$
$$t_{82} = -95.8185759344887$$
$$t_{83} = 90.5825881785057$$
$$t_{84} = 80.1106126665397$$
$$t_{85} = 73.8274273593601$$
$$t_{86} = -69.6386371545737$$
$$t_{87} = -7.85398163397448$$
$$t_{88} = -71.733032256967$$
$$t_{89} = 38.2227106186758$$
$$t_{90} = 92.6769832808989$$
$$t_{91} = 40.317105721069$$
$$t_{92} = -41.3643032722656$$
$$t_{93} = 56.025068989018$$
$$t_{94} = -47.6474885794452$$
$$t_{95} = -3.66519142918809$$
$$t_{96} = -45.553093477052$$
$$t_{97} = 34.0339204138894$$
$$t_{98} = -58.1194640914112$$
$$t_{99} = 58.1194640914112$$
$$t_{100} = -38.2227106186758$$