El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\cos{\left(5 x + 1 \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{1}{5} + \frac{\pi}{10}$$
$$x_{2} = - \frac{1}{5} + \frac{3 \pi}{10}$$
Solución numérica$$x_{1} = 20.2203522483337$$
$$x_{2} = 54.1495529071034$$
$$x_{3} = -41.9831822927443$$
$$x_{4} = 1.99911485751286$$
$$x_{5} = 67.9725605828985$$
$$x_{6} = 56.0345084992573$$
$$x_{7} = 64.2026493985908$$
$$x_{8} = -9.93893722612836$$
$$x_{9} = -94.1336203423348$$
$$x_{10} = 25.8752190247953$$
$$x_{11} = -25.6469004940773$$
$$x_{12} = 86.1937979737193$$
$$x_{13} = -89.7353906273091$$
$$x_{14} = -91.620346219463$$
$$x_{15} = -63.9743308678728$$
$$x_{16} = 4174.66247735548$$
$$x_{17} = 57.9194640914112$$
$$x_{18} = -55.8061899685393$$
$$x_{19} = -1.7707963267949$$
$$x_{20} = 84.3088423815654$$
$$x_{21} = 40.3265452313083$$
$$x_{22} = 76.140701482232$$
$$x_{23} = 88.0787535658732$$
$$x_{24} = 44.0964564156161$$
$$x_{25} = -96.0185759344887$$
$$x_{26} = 30.273448739821$$
$$x_{27} = 3.88407044966673$$
$$x_{28} = -53.9212343763855$$
$$x_{29} = 28.3884931476671$$
$$x_{30} = -6.79734457253857$$
$$x_{31} = -65.8592864600267$$
$$x_{32} = 35.9283155162826$$
$$x_{33} = -84.0805238508475$$
$$x_{34} = -33.8150413934108$$
$$x_{35} = 18.3353966561798$$
$$x_{36} = -69.6291976443344$$
$$x_{37} = 79.9106126665397$$
$$x_{38} = 98.1318500573605$$
$$x_{39} = 66.0876049907446$$
$$x_{40} = 62.3176938064369$$
$$x_{41} = -19.9920337176157$$
$$x_{42} = -74.0274273593601$$
$$x_{43} = 45.98141200777$$
$$x_{44} = -67.7442420521806$$
$$x_{45} = -40.0982267005904$$
$$x_{46} = 32.1584043319749$$
$$x_{47} = -35.6999969855647$$
$$x_{48} = -45.753093477052$$
$$x_{49} = -85.9654794430014$$
$$x_{50} = 22.1053078404875$$
$$x_{51} = -30.045130209103$$
$$x_{52} = 74.2557458900781$$
$$x_{53} = -57.6911455606932$$
$$x_{54} = 100.016805649514$$
$$x_{55} = 52.2645973149495$$
$$x_{56} = 0.114159265358979$$
$$x_{57} = 69.8575161750524$$
$$x_{58} = 13.9371669411541$$
$$x_{59} = -75.912382951514$$
$$x_{60} = -77.7973385436679$$
$$x_{61} = 91.220346219463$$
$$x_{62} = -21.8769893097696$$
$$x_{63} = -13.7088484104361$$
$$x_{64} = -11.8238928182822$$
$$x_{65} = 50.3796417227957$$
$$x_{66} = 8.28230016469244$$
$$x_{67} = 89.9637091580271$$
$$x_{68} = -97.9035315266426$$
$$x_{69} = 7.02566310325652$$
$$x_{70} = 96.2468944652067$$
$$x_{71} = -18.1070781254618$$
$$x_{72} = -31.9300858012569$$
$$x_{73} = -8.05398163397448$$
$$x_{74} = 47.8663675999238$$
$$x_{75} = -50.7796417227957$$
$$x_{76} = -52.0362787842316$$
$$x_{77} = 12.0522113490002$$
$$x_{78} = -32.5584043319749$$
$$x_{79} = 94.3619388730528$$
$$x_{80} = -62.0893752757189$$
$$x_{81} = -58.3194640914112$$
$$x_{82} = -79.6822941358218$$
$$x_{83} = 34.0433599241287$$
$$x_{84} = -43.8681378848981$$
$$x_{85} = -23.7619449019234$$
$$x_{86} = 72.3707902979242$$
$$x_{87} = -99.7884871187964$$
$$x_{88} = 63.5743308678728$$
$$x_{89} = -3.65575191894877$$
$$x_{90} = -47.6380490692059$$
$$x_{91} = 78.0256570743858$$
$$x_{92} = -72.1424717672063$$
$$x_{93} = 42.2115008234622$$
$$x_{94} = 23.9902634326414$$
$$x_{95} = 10.1672557568463$$
$$x_{96} = -87.8504350351552$$