El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin{\left(6 x \right)} \cos{\left(5 x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
$$x_{2} = - \frac{\pi}{10}$$
$$x_{3} = \frac{\pi}{10}$$
Solución numérica$$x_{1} = -34.0339204138894$$
$$x_{2} = -95.8185758726953$$
$$x_{3} = -5.75958653158129$$
$$x_{4} = 2.82743338823081$$
$$x_{5} = -31.7300858012569$$
$$x_{6} = -21.9911485751286$$
$$x_{7} = 24.60914245312$$
$$x_{8} = -63.7743308678728$$
$$x_{9} = -38.0132711084365$$
$$x_{10} = 48.0663675999238$$
$$x_{11} = -49.7418836818384$$
$$x_{12} = 31.4159265358979$$
$$x_{13} = -16.0221225333079$$
$$x_{14} = -8.37758040957278$$
$$x_{15} = -53.7212343763855$$
$$x_{16} = 78.8539756051038$$
$$x_{17} = -56.025068989018$$
$$x_{18} = -43.9822971502571$$
$$x_{19} = -7.85398143185297$$
$$x_{20} = -31.4159265358979$$
$$x_{21} = -46.18141200777$$
$$x_{22} = 23.0383461263252$$
$$x_{23} = 66.497044500984$$
$$x_{24} = 43.9822971502571$$
$$x_{25} = -39.7935069454707$$
$$x_{26} = 98.9601685219405$$
$$x_{27} = 9.42477796076938$$
$$x_{28} = -41.7831822927443$$
$$x_{29} = 74.8746249105567$$
$$x_{30} = 0$$
$$x_{31} = -65.9734457253857$$
$$x_{32} = 93.3053018116169$$
$$x_{33} = -12.0427718387609$$
$$x_{34} = 88.4881930761125$$
$$x_{35} = 84.5088423815654$$
$$x_{36} = -81.9955682586936$$
$$x_{37} = -80.1106127548258$$
$$x_{38} = 12.2522113490002$$
$$x_{39} = 21.4675497995303$$
$$x_{40} = -90.0589894029074$$
$$x_{41} = 57.5958653158129$$
$$x_{42} = 65.9734457253857$$
$$x_{43} = 40.8407044966673$$
$$x_{44} = 203.889363217978$$
$$x_{45} = -85.7654794430014$$
$$x_{46} = 53.0929158456675$$
$$x_{47} = -97.7035315266426$$
$$x_{48} = -87.9645943005142$$
$$x_{49} = -51.8362787159186$$
$$x_{50} = -78.0162175641465$$
$$x_{51} = 52.3598775598299$$
$$x_{52} = -25.4469004940773$$
$$x_{53} = 27.3318560862312$$
$$x_{54} = 79.4822941358218$$
$$x_{55} = 66.9159235214626$$
$$x_{56} = -70.162235930172$$
$$x_{57} = 94.2477796076938$$
$$x_{58} = 36.6519142918809$$
$$x_{59} = 72.2566310325652$$
$$x_{60} = -60.2138591938044$$
$$x_{61} = -83.7758040957278$$
$$x_{62} = 56.5486677646163$$
$$x_{63} = 95.8185758249797$$
$$x_{64} = -9.73893722612836$$
$$x_{65} = -17.8023583703422$$
$$x_{66} = -75.712382951514$$
$$x_{67} = -19.7920337176157$$
$$x_{68} = -48.6946862156121$$
$$x_{69} = -100.007366139275$$
$$x_{70} = 21.9911485751286$$
$$x_{71} = 14.13716703905$$
$$x_{72} = 14.6607657167524$$
$$x_{73} = -36.6519142918809$$
$$x_{74} = -72.2566310325652$$
$$x_{75} = 37.6991118430775$$
$$x_{76} = 21.6769893097696$$
$$x_{77} = 50.2654824574367$$
$$x_{78} = -92.0486647501809$$
$$x_{79} = 2.19911485751286$$
$$x_{80} = 34.2433599241287$$
$$x_{81} = 12.8805298797182$$
$$x_{82} = -29.8451301634312$$
$$x_{83} = 60.632738214283$$
$$x_{84} = 92.1533845053006$$
$$x_{85} = 3.66519142918809$$
$$x_{86} = 89.5353905699159$$
$$x_{87} = -71.733032256967$$
$$x_{88} = -27.7507351067098$$
$$x_{89} = -73.8274272914878$$
$$x_{90} = -60.0044196835651$$
$$x_{91} = 81.9955682586936$$
$$x_{92} = -93.7241808320955$$
$$x_{93} = -68.1725605828985$$