El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\tan{\left(2 x - \frac{\pi}{6} \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \frac{\pi}{12}$$
Solución numérica$$x_{1} = 34.8193185772869$$
$$x_{2} = -64.1408500107916$$
$$x_{3} = 1.83259571459405$$
$$x_{4} = -93.9859802198946$$
$$x_{5} = 31.6777259236971$$
$$x_{6} = -67.2824426643814$$
$$x_{7} = -51.5744793964324$$
$$x_{8} = 9.68657734856853$$
$$x_{9} = -29.5833308213039$$
$$x_{10} = -48.4328867428426$$
$$x_{11} = -97.1275728734844$$
$$x_{12} = -40.5789051088682$$
$$x_{13} = -28.012534494509$$
$$x_{14} = -18.5877565337396$$
$$x_{15} = -6.02138591938044$$
$$x_{16} = 12.8281700021583$$
$$x_{17} = -95.5567765466895$$
$$x_{18} = -7.59218224617533$$
$$x_{19} = 80.3724120543389$$
$$x_{20} = 81.9432083811338$$
$$x_{21} = -56.2868683768171$$
$$x_{22} = -100.269165527074$$
$$x_{23} = 94.5095789954929$$
$$x_{24} = 42.6733002112614$$
$$x_{25} = 30.1069295969022$$
$$x_{26} = -86.1319985859202$$
$$x_{27} = -79.8488132787406$$
$$x_{28} = -23.3001455141243$$
$$x_{29} = -87.7027949127151$$
$$x_{30} = -78.2780169519457$$
$$x_{31} = -13.8753675533549$$
$$x_{32} = -26.4417381677141$$
$$x_{33} = 61.5228561328001$$
$$x_{34} = 97.6511716490827$$
$$x_{35} = 56.8104671524154$$
$$x_{36} = -45.2912940892529$$
$$x_{37} = 8.11578102177363$$
$$x_{38} = -81.4196096055355$$
$$x_{39} = -35.8665161284835$$
$$x_{40} = 59.9520598060052$$
$$x_{41} = 53.6688744988256$$
$$x_{42} = 74.0892267471593$$
$$x_{43} = 44.2440965380563$$
$$x_{44} = -57.857664703612$$
$$x_{45} = 67.8060414399797$$
$$x_{46} = -1.30899693899575$$
$$x_{47} = 15.9697626557481$$
$$x_{48} = -75.1364242983559$$
$$x_{49} = -21.7293491873294$$
$$x_{50} = -92.4151838930998$$
$$x_{51} = 58.3812634792103$$
$$x_{52} = 69.3768377667746$$
$$x_{53} = -31.1541271480988$$
$$x_{54} = 83.5140047079287$$
$$x_{55} = 17.540558982543$$
$$x_{56} = -9.16297857297023$$
$$x_{57} = 86.6555973615185$$
$$x_{58} = -73.565627971561$$
$$x_{59} = 22.2529479629277$$
$$x_{60} = 66.2352451131848$$
$$x_{61} = 64.6644487863899$$
$$x_{62} = -42.1497014356631$$
$$x_{63} = 25.3945406165175$$
$$x_{64} = 92.9387826686981$$
$$x_{65} = 36.3901149040818$$
$$x_{66} = 100.792764302673$$
$$x_{67} = -62.5700536839967$$
$$x_{68} = -65.7116463375865$$
$$x_{69} = -53.1452757232273$$
$$x_{70} = -34.2957198016886$$
$$x_{71} = 52.0980781720307$$
$$x_{72} = 72.5184304203644$$
$$x_{73} = 50.5272818452358$$
$$x_{74} = -71.9948316447661$$
$$x_{75} = 47.3856891916461$$
$$x_{76} = 6.54498469497874$$
$$x_{77} = -84.5612022591253$$
$$x_{78} = -37.4373124552784$$
$$x_{79} = 23.8237442897226$$
$$x_{80} = 96.0803753222878$$
$$x_{81} = -12.30457122656$$
$$x_{82} = 45.8148928648512$$
$$x_{83} = -15.4461638801498$$
$$x_{84} = 20.6821516361328$$
$$x_{85} = 14.3989663289532$$
$$x_{86} = -4.45058959258554$$
$$x_{87} = 75.6600230739542$$
$$x_{88} = -43.720497762458$$
$$x_{89} = -89.27359123951$$
$$x_{90} = 39.5317075576716$$
$$x_{91} = -70.4240353179712$$
$$x_{92} = 88.2263936883134$$
$$x_{93} = -59.4284610304069$$
$$x_{94} = -20.1585528605345$$
$$x_{95} = 78.801615727544$$
$$x_{96} = -50.0036830696375$$
$$x_{97} = 0.261799387799149$$
$$x_{98} = 37.9609112308767$$
$$x_{99} = 89.7971900151083$$
$$x_{100} = 28.5361332701073$$
$$x_{101} = 3.40339204138894$$