El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{\sin{\left(x \right)}}{2} + \frac{17 \cos{\left(x \right)}}{10} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \operatorname{atan}{\left(\frac{17}{5} \right)}$$
Solución numérica$$x_{1} = -64.1165979568734$$
$$x_{2} = -32.7006714209755$$
$$x_{3} = 42.6975522651795$$
$$x_{4} = 39.5559596115897$$
$$x_{5} = 4.99844042210201$$
$$x_{6} = 1.85684776851221$$
$$x_{7} = 77.2550714546673$$
$$x_{8} = 67.8302934938979$$
$$x_{9} = -54.6918199961041$$
$$x_{10} = -38.9838567281551$$
$$x_{11} = 86.6798494154366$$
$$x_{12} = -42.1254493817449$$
$$x_{13} = 14.4232183828714$$
$$x_{14} = -79.8245612248224$$
$$x_{15} = -76.6829685712326$$
$$x_{16} = -67.2581906104632$$
$$x_{17} = -26.4174861137959$$
$$x_{18} = 11.2816257292816$$
$$x_{19} = 92.9630347226162$$
$$x_{20} = -60.9750053032837$$
$$x_{21} = -95.5325244927714$$
$$x_{22} = 26.9895889972306$$
$$x_{23} = 23.8479963436408$$
$$x_{24} = -1.28474488507758$$
$$x_{25} = -48.4086346889245$$
$$x_{26} = -4.42633753866737$$
$$x_{27} = -23.2758934602061$$
$$x_{28} = -35.8422640745653$$
$$x_{29} = -16.9927081530265$$
$$x_{30} = 17.5648110364612$$
$$x_{31} = -57.8334126496939$$
$$x_{32} = 33.2727743044101$$
$$x_{33} = -86.107746532002$$
$$x_{34} = 55.2639228795387$$
$$x_{35} = -92.3909318391816$$
$$x_{36} = 20.706403690051$$
$$x_{37} = -29.5590787673857$$
$$x_{38} = 61.5471081867183$$
$$x_{39} = -89.2493391855918$$
$$x_{40} = -10.709522845847$$
$$x_{41} = -70.399783264053$$
$$x_{42} = -51.5502273425143$$
$$x_{43} = 8.1400330756918$$
$$x_{44} = -20.1343008066163$$
$$x_{45} = -98.6741171463612$$
$$x_{46} = -45.2670420353347$$
$$x_{47} = -13.8511154994368$$
$$x_{48} = -82.9661538784122$$
$$x_{49} = 80.396664108257$$
$$x_{50} = -73.5413759176428$$
$$x_{51} = 30.1311816508204$$
$$x_{52} = 64.6887008403081$$
$$x_{53} = 74.1134788010775$$
$$x_{54} = -7.56793019225716$$
$$x_{55} = 70.9718861474877$$
$$x_{56} = 99.2462200297958$$
$$x_{57} = 58.4055155331285$$
$$x_{58} = 45.8391449187693$$
$$x_{59} = 165899.940105885$$
$$x_{60} = 48.9807375723591$$
$$x_{61} = 96.104627376206$$
$$x_{62} = 83.5382567618468$$
$$x_{63} = 36.4143669579999$$
$$x_{64} = 89.8214420690264$$
$$x_{65} = 52.1223302259489$$