El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$- \sin{\left(x \right)} + \tan{\left(x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
$$x_{2} = - \pi$$
$$x_{3} = \pi$$
$$x_{4} = 2 \pi$$
Solución numérica$$x_{1} = -94.247709971272$$
$$x_{2} = -43.9823032346337$$
$$x_{3} = 72.2566310325652$$
$$x_{4} = 100.53089774094$$
$$x_{5} = -59.6902604182061$$
$$x_{6} = 3.14159265358979$$
$$x_{7} = 37.6991943119311$$
$$x_{8} = -87.9646059906506$$
$$x_{9} = 28.2743338823081$$
$$x_{10} = 65.9734457253857$$
$$x_{11} = -9.42477796076938$$
$$x_{12} = 40.8407044966673$$
$$x_{13} = 87.9646063326271$$
$$x_{14} = 56.5485965615511$$
$$x_{15} = -37.6991249874605$$
$$x_{16} = -31.4160058204857$$
$$x_{17} = -3.14159265358979$$
$$x_{18} = 6.28317667452769$$
$$x_{19} = -15.707963267949$$
$$x_{20} = -50.2654085293898$$
$$x_{21} = 59.6902604182061$$
$$x_{22} = 9.42477796076938$$
$$x_{23} = -53.4070751110265$$
$$x_{24} = -47.1238898038469$$
$$x_{25} = 81.6814957256218$$
$$x_{26} = -84.8230016469244$$
$$x_{27} = 21.9911485751286$$
$$x_{28} = 50.2654784082702$$
$$x_{29} = -72.2566310325652$$
$$x_{30} = 0$$
$$x_{31} = 34.5575191894877$$
$$x_{32} = 43.9823032558229$$
$$x_{33} = -65.9734457253857$$
$$x_{34} = -21.9911485751286$$
$$x_{35} = 84.8230016469244$$
$$x_{36} = 53.4070751110265$$
$$x_{37} = 15.707963267949$$
$$x_{38} = -28.2743338823081$$
$$x_{39} = -91.106186954104$$
$$x_{40} = 47.1238898038469$$
$$x_{41} = -6.28310710415117$$
$$x_{42} = 97.3893722612836$$
$$x_{43} = 12.5662953756568$$
$$x_{44} = 94.2477801894847$$
$$x_{45} = 78.5398163397448$$
$$x_{46} = -75.398307030487$$
$$x_{47} = -78.5398163397448$$
$$x_{48} = -40.8407044966673$$
$$x_{49} = -97.3893722612836$$
$$x_{50} = -81.6814265724441$$
$$x_{51} = 91.106186954104$$
$$x_{52} = -34.5575191894877$$