El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$- 2 \cos{\left(x - \frac{5 \pi}{12} \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{\pi}{12}$$
$$x_{2} = \frac{11 \pi}{12}$$
Solución numérica$$x_{1} = -72.5184304203644$$
$$x_{2} = -12.8281700021583$$
$$x_{3} = -44.2440965380563$$
$$x_{4} = 43.720497762458$$
$$x_{5} = 112.835536141433$$
$$x_{6} = 53.1452757232273$$
$$x_{7} = 71.9948316447661$$
$$x_{8} = 9.16297857297023$$
$$x_{9} = -85.0848010347236$$
$$x_{10} = -100.792764302673$$
$$x_{11} = -53.6688744988256$$
$$x_{12} = 24.8709418409192$$
$$x_{13} = 34.2957198016886$$
$$x_{14} = 37.4373124552784$$
$$x_{15} = -0.261799387799149$$
$$x_{16} = -22.2529479629277$$
$$x_{17} = -19.1113553093379$$
$$x_{18} = -2189.95187893988$$
$$x_{19} = -78.801615727544$$
$$x_{20} = 40.5789051088682$$
$$x_{21} = -75.6600230739542$$
$$x_{22} = 62.5700536839967$$
$$x_{23} = 56.2868683768171$$
$$x_{24} = -59.9520598060052$$
$$x_{25} = -34.8193185772869$$
$$x_{26} = 93.9859802198946$$
$$x_{27} = -66.2352451131848$$
$$x_{28} = -28.5361332701073$$
$$x_{29} = 87.7027949127151$$
$$x_{30} = 18.5877565337396$$
$$x_{31} = -25.3945406165175$$
$$x_{32} = -63.093652459595$$
$$x_{33} = -15.9697626557481$$
$$x_{34} = 97.1275728734844$$
$$x_{35} = 21.7293491873294$$
$$x_{36} = 68.8532389911763$$
$$x_{37} = 75.1364242983559$$
$$x_{38} = -9.68657734856853$$
$$x_{39} = -56.8104671524154$$
$$x_{40} = -81.9432083811338$$
$$x_{41} = 81.4196096055355$$
$$x_{42} = 15.4461638801498$$
$$x_{43} = -3.40339204138894$$
$$x_{44} = 14721.241375334$$
$$x_{45} = 84.5612022591253$$
$$x_{46} = -94.5095789954929$$
$$x_{47} = -69.3768377667746$$
$$x_{48} = 28.012534494509$$
$$x_{49} = -91.3679863419031$$
$$x_{50} = 78.2780169519457$$
$$x_{51} = -37.9609112308767$$
$$x_{52} = 100.269165527074$$
$$x_{53} = -6.54498469497874$$
$$x_{54} = -47.3856891916461$$
$$x_{55} = -31.6777259236971$$
$$x_{56} = 12.30457122656$$
$$x_{57} = 59.4284610304069$$
$$x_{58} = 65.7116463375865$$
$$x_{59} = 50.0036830696375$$
$$x_{60} = 46.8620904160477$$
$$x_{61} = -97.6511716490827$$
$$x_{62} = 31.1541271480988$$
$$x_{63} = 90.8443875663049$$
$$x_{64} = -50.5272818452358$$
$$x_{65} = 2.87979326579064$$
$$x_{66} = 6.02138591938044$$
$$x_{67} = -88.2263936883134$$
$$x_{68} = -41.1025038844665$$