El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$2 \sin{\left(x + \frac{\pi}{6} \right)} + 2 = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{2 \pi}{3}$$
$$x_{2} = \frac{4 \pi}{3}$$
Solución numérica$$x_{1} = -108.908544294949$$
$$x_{2} = -8.37758018623408$$
$$x_{3} = 79.5870129226152$$
$$x_{4} = -64.9262477469699$$
$$x_{5} = -2537730.37448219$$
$$x_{6} = -14.6607653512222$$
$$x_{7} = -83.7758040750887$$
$$x_{8} = 79.5870141299736$$
$$x_{9} = 98.4365697036444$$
$$x_{10} = -39.7935064774491$$
$$x_{11} = 73.3038281387027$$
$$x_{12} = 92.1533840908503$$
$$x_{13} = -2.09439560156919$$
$$x_{14} = -71.2094337514317$$
$$x_{15} = -33.5103215424455$$
$$x_{16} = -33.5103217734977$$
$$x_{17} = 92.1533849512619$$
$$x_{18} = -71.2094329890238$$
$$x_{19} = -96.342175215893$$
$$x_{20} = 85.870198694467$$
$$x_{21} = -8.37758114523565$$
$$x_{22} = 4.18879026163738$$
$$x_{23} = 35.6047158906949$$
$$x_{24} = -52.3598780642478$$
$$x_{25} = 54.4542725444797$$
$$x_{26} = 67.0206429182693$$
$$x_{27} = 67.0206437185101$$
$$x_{28} = 16.75516131708$$
$$x_{29} = -39.793507323436$$
$$x_{30} = 92.1533846224853$$
$$x_{31} = -77.4926186337816$$
$$x_{32} = 60.7374577215862$$
$$x_{33} = 10.4719753854359$$
$$x_{34} = 98.4365703264027$$
$$x_{35} = 54.4542731772212$$
$$x_{36} = -20.9439513945345$$
$$x_{37} = -46.0766927490392$$
$$x_{38} = 35.6047162396481$$
$$x_{39} = 16.7551615795837$$
$$x_{40} = 29.3215315503859$$
$$x_{41} = -46.0766933186229$$
$$x_{42} = -46.0766920003146$$
$$x_{43} = 48.1710869517551$$
$$x_{44} = -64.9262485507945$$
$$x_{45} = -20.9439505916939$$
$$x_{46} = -52.359877344473$$
$$x_{47} = -83.775803621544$$
$$x_{48} = 48.1710878089946$$
$$x_{49} = -77.492618271937$$
$$x_{50} = 23.0383465634668$$
$$x_{51} = 4.18878981363265$$
$$x_{52} = -90.0589898961183$$
$$x_{53} = -27.2271365938325$$
$$x_{54} = -58.6430625342279$$
$$x_{55} = -90.058989127203$$
$$x_{56} = 85.8701992979325$$
$$x_{57} = 35.604716971914$$
$$x_{58} = -14.6607661705898$$
$$x_{59} = 41.8879021371507$$
$$x_{60} = 4.18879066607671$$
$$x_{61} = 54.4542726557069$$
$$x_{62} = 60.7374584698885$$
$$x_{63} = 98.4365697615429$$
$$x_{64} = -2.09439502413559$$
$$x_{65} = 41.8879015462722$$
$$x_{66} = 85.8701993668955$$
$$x_{67} = 16.7551602282542$$
$$x_{68} = -2.09439487552071$$
$$x_{69} = -33.510321121959$$
$$x_{70} = 23.0383457618207$$
$$x_{71} = -39.7935069083105$$
$$x_{72} = 16.7551605638403$$
$$x_{73} = -96.3421752381095$$
$$x_{74} = 48.1710874369572$$
$$x_{75} = -83.7758044593608$$
$$x_{76} = 73.3038289361328$$
$$x_{77} = -90.0589893488743$$
$$x_{78} = 10.4719755542211$$
$$x_{79} = 79.5870133918867$$
$$x_{80} = -52.3598781878037$$
$$x_{81} = -58.6430633250402$$
$$x_{82} = -27.227135835892$$
$$x_{83} = -46.0766921860726$$
$$x_{84} = -14.6607653773517$$
$$x_{85} = 29.3215309839921$$
$$x_{86} = -96.3421745028061$$
$$x_{87} = -77.4926189323297$$
$$x_{88} = 10.4719760277638$$
$$x_{89} = 41.8879022469632$$
$$x_{90} = -8.37758091239869$$
$$x_{91} = 29.3215317794356$$
$$x_{92} = -83.7758044339049$$