El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\tan^{6}{\left(x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
Solución numérica$$x_{1} = -43.982790508092$$
$$x_{2} = 6.28237000737842$$
$$x_{3} = -59.6917295387847$$
$$x_{4} = -50.258000517485$$
$$x_{5} = 65.9741858779234$$
$$x_{6} = 15.7162209377753$$
$$x_{7} = -53.4158482503431$$
$$x_{8} = -21.9913952278169$$
$$x_{9} = 12.5583312789924$$
$$x_{10} = 100.523880858078$$
$$x_{11} = -97.3986440111005$$
$$x_{12} = -65.9741859143007$$
$$x_{13} = 37.7076307649374$$
$$x_{14} = 87.96558138164$$
$$x_{15} = 56.5411091258823$$
$$x_{16} = 50.2651022219752$$
$$x_{17} = -87.9655816248618$$
$$x_{18} = -28.266594609415$$
$$x_{19} = 59.6990420891101$$
$$x_{20} = -37.7003628181728$$
$$x_{21} = -15.7089963123123$$
$$x_{22} = -75.4072451368398$$
$$x_{23} = -31.424453271168$$
$$x_{24} = 94.2478341330047$$
$$x_{25} = 81.690455008135$$
$$x_{26} = -9.43306012048153$$
$$x_{27} = 34.5497210030174$$
$$x_{28} = -72.2494053044456$$
$$x_{29} = 21.9913952277767$$
$$x_{30} = 43.9827905052926$$
$$x_{31} = -81.6830964998796$$
$$x_{32} = -94.2408090599442$$
$$x_{33} = 78.5324957204301$$
$$x_{34} = 28.2737361732652$$
$$x_{35} = 0$$
$$x_{36} = -6.27518748873374$$
$$x_{37} = 72.2564681941063$$