El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\cos{\left(x + \frac{1}{2} \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{1}{2} + \frac{\pi}{2}$$
$$x_{2} = - \frac{1}{2} + \frac{3 \pi}{2}$$
Solución numérica$$x_{1} = -5.21238898038469$$
$$x_{2} = 79.6106126665397$$
$$x_{3} = 98.4601685880785$$
$$x_{4} = -46.053093477052$$
$$x_{5} = 1.0707963267949$$
$$x_{6} = -71.1858347057703$$
$$x_{7} = -17.7787595947439$$
$$x_{8} = 73.3274273593601$$
$$x_{9} = -36.6283155162826$$
$$x_{10} = 4.21238898038469$$
$$x_{11} = -80.6106126665397$$
$$x_{12} = 114.168131856027$$
$$x_{13} = -68.0442420521806$$
$$x_{14} = 60.761056745001$$
$$x_{15} = 19.9203522483337$$
$$x_{16} = 67.0442420521806$$
$$x_{17} = 70.1858347057703$$
$$x_{18} = -64.9026493985908$$
$$x_{19} = -96.3185759344887$$
$$x_{20} = 107.884946548848$$
$$x_{21} = 10.4955742875643$$
$$x_{22} = -2.0707963267949$$
$$x_{23} = -14.6371669411541$$
$$x_{24} = 23.0619449019235$$
$$x_{25} = -99.4601685880785$$
$$x_{26} = -20.9203522483337$$
$$x_{27} = 16.7787595947439$$
$$x_{28} = -61.761056745001$$
$$x_{29} = -33.4867228626928$$
$$x_{30} = 35.6283155162826$$
$$x_{31} = 32.4867228626928$$
$$x_{32} = -93.1769832808989$$
$$x_{33} = -30.345130209103$$
$$x_{34} = 95.3185759344887$$
$$x_{35} = 13.6371669411541$$
$$x_{36} = 48.1946861306418$$
$$x_{37} = -42.9115008234622$$
$$x_{38} = -27.2035375555132$$
$$x_{39} = -74.3274273593601$$
$$x_{40} = -83.7522053201295$$
$$x_{41} = 38.7699081698724$$
$$x_{42} = -11.4955742875643$$
$$x_{43} = -55.4778714378214$$
$$x_{44} = -86.8937979737193$$
$$x_{45} = 26.2035375555132$$
$$x_{46} = 63.9026493985908$$
$$x_{47} = -52.3362787842316$$
$$x_{48} = -58.6194640914112$$
$$x_{49} = 57.6194640914112$$
$$x_{50} = 51.3362787842316$$
$$x_{51} = 82.7522053201295$$
$$x_{52} = 76.4690200129499$$
$$x_{53} = -8.35398163397448$$
$$x_{54} = 92.1769832808989$$
$$x_{55} = 7.35398163397448$$
$$x_{56} = -77.4690200129499$$
$$x_{57} = -90.0353906273091$$
$$x_{58} = -49.1946861306418$$
$$x_{59} = -39.7699081698724$$
$$x_{60} = 85.8937979737193$$
$$x_{61} = 45.053093477052$$
$$x_{62} = 89.0353906273091$$
$$x_{63} = -24.0619449019235$$
$$x_{64} = 41.9115008234622$$
$$x_{65} = 192.707948195772$$
$$x_{66} = 54.4778714378214$$
$$x_{67} = 29.345130209103$$