El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\cot{\left(x + \frac{\pi}{6} \right)} - 1 = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \frac{\pi}{12}$$
Solución numérica$$x_{1} = 97.6511716490827$$
$$x_{2} = 25.3945406165175$$
$$x_{3} = 3.40339204138894$$
$$x_{4} = -56.2868683768171$$
$$x_{5} = 72.5184304203644$$
$$x_{6} = -28.012534494509$$
$$x_{7} = 78.801615727544$$
$$x_{8} = 6.54498469497874$$
$$x_{9} = -97.1275728734844$$
$$x_{10} = -75.1364242983559$$
$$x_{11} = -90.8443875663049$$
$$x_{12} = -12.30457122656$$
$$x_{13} = -62.5700536839967$$
$$x_{14} = -9.16297857297023$$
$$x_{15} = -24.8709418409192$$
$$x_{16} = -65.7116463375865$$
$$x_{17} = 19.1113553093379$$
$$x_{18} = -84.5612022591253$$
$$x_{19} = 0.261799387799149$$
$$x_{20} = 53.6688744988256$$
$$x_{21} = 28.5361332701073$$
$$x_{22} = 81.9432083811338$$
$$x_{23} = -87.7027949127151$$
$$x_{24} = 69.3768377667746$$
$$x_{25} = 85.0848010347236$$
$$x_{26} = -15.4461638801498$$
$$x_{27} = -43.720497762458$$
$$x_{28} = -59.4284610304069$$
$$x_{29} = -34.2957198016886$$
$$x_{30} = -37.4373124552784$$
$$x_{31} = -68.8532389911763$$
$$x_{32} = 44.2440965380563$$
$$x_{33} = 59.9520598060052$$
$$x_{34} = -31.1541271480988$$
$$x_{35} = -21.7293491873294$$
$$x_{36} = -53.1452757232273$$
$$x_{37} = 41.1025038844665$$
$$x_{38} = -100.269165527074$$
$$x_{39} = 94.5095789954929$$
$$x_{40} = -18.5877565337396$$
$$x_{41} = 66.2352451131848$$
$$x_{42} = -46.8620904160477$$
$$x_{43} = 56.8104671524154$$
$$x_{44} = 47.3856891916461$$
$$x_{45} = -71.9948316447661$$
$$x_{46} = 9.68657734856853$$
$$x_{47} = 63.093652459595$$
$$x_{48} = -81.4196096055355$$
$$x_{49} = -78.2780169519457$$
$$x_{50} = -6.02138591938044$$
$$x_{51} = -50.0036830696375$$
$$x_{52} = 37.9609112308767$$
$$x_{53} = 100.792764302673$$
$$x_{54} = 88.2263936883134$$
$$x_{55} = 31.6777259236971$$
$$x_{56} = 34.8193185772869$$
$$x_{57} = 15.9697626557481$$
$$x_{58} = 91.3679863419031$$
$$x_{59} = 22.2529479629277$$
$$x_{60} = -40.5789051088682$$
$$x_{61} = 75.6600230739542$$
$$x_{62} = -93.9859802198946$$
$$x_{63} = 12.8281700021583$$
$$x_{64} = 50.5272818452358$$
$$x_{65} = -2.87979326579064$$