El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sqrt{3} \sin{\left(x \right)} + \cos{\left(x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{\pi}{6}$$
Solución numérica$$x_{1} = 68.5914396033772$$
$$x_{2} = -63.3554518473942$$
$$x_{3} = 46.6002910282486$$
$$x_{4} = 43.4586983746588$$
$$x_{5} = 84.2994028713261$$
$$x_{6} = -101.054563690472$$
$$x_{7} = -31.9395253114962$$
$$x_{8} = 71.733032256967$$
$$x_{9} = 12.0427718387609$$
$$x_{10} = 87.4409955249159$$
$$x_{11} = 81.1578102177363$$
$$x_{12} = -9.94837673636768$$
$$x_{13} = -53.9306738866248$$
$$x_{14} = -57.0722665402146$$
$$x_{15} = -47.6474885794452$$
$$x_{16} = -19.3731546971371$$
$$x_{17} = 37.1755130674792$$
$$x_{18} = -69.6386371545737$$
$$x_{19} = -60.2138591938044$$
$$x_{20} = -75.9218224617533$$
$$x_{21} = 5.75958653158129$$
$$x_{22} = 131.423292675173$$
$$x_{23} = 65.4498469497874$$
$$x_{24} = 40.317105721069$$
$$x_{25} = -22.5147473507269$$
$$x_{26} = 56.025068989018$$
$$x_{27} = -94.7713783832921$$
$$x_{28} = -914.727060970228$$
$$x_{29} = -88.4881930761125$$
$$x_{30} = 8.90117918517108$$
$$x_{31} = 100.007366139275$$
$$x_{32} = 15.1843644923507$$
$$x_{33} = -13.0899693899575$$
$$x_{34} = 49.7418836818384$$
$$x_{35} = 96.8657734856853$$
$$x_{36} = -41.3643032722656$$
$$x_{37} = -38.2227106186758$$
$$x_{38} = -82.2050077689329$$
$$x_{39} = 24.60914245312$$
$$x_{40} = 90.5825881785057$$
$$x_{41} = -91.6297857297023$$
$$x_{42} = -97.9129710368819$$
$$x_{43} = 78.0162175641465$$
$$x_{44} = -35.081117965086$$
$$x_{45} = 93.7241808320955$$
$$x_{46} = -3.66519142918809$$
$$x_{47} = -66.497044500984$$
$$x_{48} = -44.5058959258554$$
$$x_{49} = 2.61799387799149$$
$$x_{50} = -79.0634151153431$$
$$x_{51} = -0.523598775598299$$
$$x_{52} = 34.0339204138894$$
$$x_{53} = -16.2315620435473$$
$$x_{54} = -72.7802298081635$$
$$x_{55} = 18.3259571459405$$
$$x_{56} = -25.6563400043166$$
$$x_{57} = -50.789081233035$$
$$x_{58} = -28.7979326579064$$
$$x_{59} = 30.8923277602996$$
$$x_{60} = 27.7507351067098$$
$$x_{61} = -6.80678408277789$$
$$x_{62} = 52.8834763354282$$
$$x_{63} = 21.4675497995303$$
$$x_{64} = 59.1666616426078$$
$$x_{65} = 62.3082542961976$$
$$x_{66} = 74.8746249105567$$
$$x_{67} = -85.3466004225227$$