El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$- \sin{\left(\sqrt{6} x \right)} - \cos{\left(\sqrt{6} x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{\sqrt{6} \pi}{24}$$
Solución numérica$$x_{1} = 63.8068540505527$$
$$x_{2} = 95.8705998045993$$
$$x_{3} = 67.6545035410383$$
$$x_{4} = 59.9592045600671$$
$$x_{5} = -90.0991255688709$$
$$x_{6} = -87.5340259085472$$
$$x_{7} = 44.5686065981248$$
$$x_{8} = -92.6642252291947$$
$$x_{9} = 31.7431082965061$$
$$x_{10} = 2.24446220278326$$
$$x_{11} = 94.5880499744375$$
$$x_{12} = -22.1239845702922$$
$$x_{13} = 81.7625516728188$$
$$x_{14} = -83.6863764180616$$
$$x_{15} = -41.3622320227201$$
$$x_{16} = -50.3400808338532$$
$$x_{17} = -0.320637457540466$$
$$x_{18} = -75.9910774370905$$
$$x_{19} = -100.359524210166$$
$$x_{20} = 30.4605584663443$$
$$x_{21} = 85.6102011633044$$
$$x_{22} = -61.8830293053099$$
$$x_{23} = 16.3525103345638$$
$$x_{24} = 76.6323523521714$$
$$x_{25} = 80.480001842657$$
$$x_{26} = -55.4702801545006$$
$$x_{27} = -18.2763350798066$$
$$x_{28} = -72.1434279466049$$
$$x_{29} = -36.2320327020727$$
$$x_{30} = 27.8954588060205$$
$$x_{31} = 74.0672526918477$$
$$x_{32} = -82.4038265878998$$
$$x_{33} = 17.6350601647256$$
$$x_{34} = 88.1753008236282$$
$$x_{35} = 56.1115550695816$$
$$x_{36} = -47.7749811735294$$
$$x_{37} = -29.8192835512633$$
$$x_{38} = 99.7182492950849$$
$$x_{39} = 24.047809315535$$
$$x_{40} = 42.003506937801$$
$$x_{41} = 20.2001598250494$$
$$x_{42} = -33.6669330417489$$
$$x_{43} = 70.2196032013621$$
$$x_{44} = 9.93976118375445$$
$$x_{45} = -32.3843832115871$$
$$x_{46} = -43.9273316830438$$
$$x_{47} = -68.2957784561193$$
$$x_{48} = -37.5145825322345$$
$$x_{49} = 77.9149021823333$$
$$x_{50} = 48.4162560886104$$
$$x_{51} = -19.5588849099684$$
$$x_{52} = 34.3082079568299$$
$$x_{53} = -4.16828694802606$$
$$x_{54} = 98.4356994649231$$
$$x_{55} = 66.3719537108765$$
$$x_{56} = 6.09211169326885$$
$$x_{57} = -69.5783282862811$$
$$x_{58} = 12.5048608440782$$
$$x_{59} = -97.7944245498421$$
$$x_{60} = -11.8635859289972$$
$$x_{61} = -65.7306787957955$$
$$x_{62} = 13.78741067424$$
$$x_{63} = -51.622630664015$$
$$x_{64} = -54.1877303243388$$
$$x_{65} = 49.6988059187722$$
$$x_{66} = -25.9716340607777$$
$$x_{67} = 45.8511564282866$$
$$x_{68} = -58.0353798148244$$
$$x_{69} = -8.01593643851165$$
$$x_{70} = 84.3276513331426$$
$$x_{71} = -79.838726927576$$
$$x_{72} = -23.406534400454$$
$$x_{73} = 93.3055001442756$$
$$x_{74} = -1.60318728770233$$
$$x_{75} = -40.0796821925583$$
$$x_{76} = 62.5243042203909$$
$$x_{77} = 26.6129089758587$$
$$x_{78} = -15.7112354194828$$
$$x_{79} = -93.9467750593565$$
$$x_{80} = -91.3816753990328$$
$$x_{81} = -86.2514760783854$$
$$x_{82} = -73.4259777767667$$
$$x_{83} = 38.1558574473155$$
$$x_{84} = 52.263905579096$$
$$x_{85} = -5.45083677818792$$
$$x_{86} = 92.0229503141137$$