El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin{\left(\sqrt{3} x \right)} + \cos{\left(\sqrt{3} x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{\sqrt{3} \pi}{12}$$
Solución numérica$$x_{1} = -47.6122333111482$$
$$x_{2} = -2.26724920529277$$
$$x_{3} = -24.0328415761034$$
$$x_{4} = 8.61554698011254$$
$$x_{5} = -49.4260326753824$$
$$x_{6} = -4.08104856952699$$
$$x_{7} = -87.515819324301$$
$$x_{8} = 34.0087380793916$$
$$x_{9} = -71.1916250461931$$
$$x_{10} = -5.89484793376121$$
$$x_{11} = 57.5881298144364$$
$$x_{12} = 35.8225374436258$$
$$x_{13} = 53.960531085968$$
$$x_{14} = -91.1434180527694$$
$$x_{15} = 427.603200118217$$
$$x_{16} = -92.9572174170037$$
$$x_{17} = -80.2606218673641$$
$$x_{18} = 64.8433272713733$$
$$x_{19} = 30.3811393509231$$
$$x_{20} = -18.5914434834007$$
$$x_{21} = -20.405242847635$$
$$x_{22} = -9.52244666222964$$
$$x_{23} = -98.3986155097063$$
$$x_{24} = 32.1949387151574$$
$$x_{25} = 95.677916463355$$
$$x_{26} = 17.6845438012836$$
$$x_{27} = -27.6604403045718$$
$$x_{28} = 59.4019291786706$$
$$x_{29} = -42.1708352184456$$
$$x_{30} = 14.0569450728152$$
$$x_{31} = -40.3570358542113$$
$$x_{32} = -82.0744212315984$$
$$x_{33} = -0.453449841058554$$
$$x_{34} = 46.7053336290311$$
$$x_{35} = -100.212414873941$$
$$x_{36} = 26.7535406224547$$
$$x_{37} = 86.6089196421839$$
$$x_{38} = 75.7261234567786$$
$$x_{39} = -51.2398320396167$$
$$x_{40} = 84.7951202779497$$
$$x_{41} = 24.9397412582205$$
$$x_{42} = 39.4501361720942$$
$$x_{43} = -38.5432364899771$$
$$x_{44} = 12.243145708581$$
$$x_{45} = 10.4293463443468$$
$$x_{46} = -60.3088288607877$$
$$x_{47} = -83.8882205958326$$
$$x_{48} = 48.5191329932653$$
$$x_{49} = -58.4950294965535$$
$$x_{50} = 50.3329323574995$$
$$x_{51} = 92.0503177348866$$
$$x_{52} = -7.70864729799543$$
$$x_{53} = 72.0985247283102$$
$$x_{54} = 88.4227190064181$$
$$x_{55} = 66.6571266356075$$
$$x_{56} = -11.3362460264639$$
$$x_{57} = 6.80174761587832$$
$$x_{58} = -13.1500453906981$$
$$x_{59} = -96.5848161454721$$
$$x_{60} = -78.4468225031299$$
$$x_{61} = 93.8641170991208$$
$$x_{62} = -45.798433946914$$
$$x_{63} = -69.3778256819588$$
$$x_{64} = -22.2190422118692$$
$$x_{65} = 77.5399228210128$$
$$x_{66} = 28.5673399866889$$
$$x_{67} = -89.3296186885352$$
$$x_{68} = 52.1467317217338$$
$$x_{69} = 90.2365183706523$$
$$x_{70} = 135.581502476508$$
$$x_{71} = 70.2847253640759$$
$$x_{72} = -43.9846345826798$$
$$x_{73} = 55.7743304502022$$
$$x_{74} = -31.2880390330403$$
$$x_{75} = -29.474239668806$$
$$x_{76} = 68.4709259998417$$
$$x_{77} = -85.7020199600668$$
$$x_{78} = -63.9364275892562$$
$$x_{79} = 15.8707444370494$$
$$x_{80} = -62.122628225022$$
$$x_{81} = -67.5640263177246$$
$$x_{82} = 19.4983431655178$$
$$x_{83} = -65.7502269534904$$
$$x_{84} = -25.8466409403376$$
$$x_{85} = 97.4917158275892$$
$$x_{86} = -120.164207880517$$
$$x_{87} = 73.9123240925444$$
$$x_{88} = 37.63633680786$$