El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\left(\frac{1}{10} - \sin{\left(x \right)}\right) \cos{\left(x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - \frac{\pi}{2}$$
$$x_{2} = \frac{\pi}{2}$$
$$x_{3} = 2 \operatorname{atan}{\left(10 - 3 \sqrt{11} \right)}$$
$$x_{4} = 2 \operatorname{atan}{\left(3 \sqrt{11} + 10 \right)}$$
Solución numérica$$x_{1} = 15.6077958467874$$
$$x_{2} = -64.4026493985908$$
$$x_{3} = -66.0736131465472$$
$$x_{4} = -23.5619449019235$$
$$x_{5} = -29.845130209103$$
$$x_{6} = 1.5707963267949$$
$$x_{7} = 42.4115008234622$$
$$x_{8} = 34.4573517683262$$
$$x_{9} = 44.0824645714187$$
$$x_{10} = 4.71238898038469$$
$$x_{11} = 6.38335272834115$$
$$x_{12} = 36.1283155162826$$
$$x_{13} = -94.1476121865322$$
$$x_{14} = 23.5619449019235$$
$$x_{15} = -17.2787595947439$$
$$x_{16} = 88.0647617216758$$
$$x_{17} = 26.7035375555132$$
$$x_{18} = 28.1741664611466$$
$$x_{19} = -53.507242532188$$
$$x_{20} = -22.0913159962901$$
$$x_{21} = -80.1106126665397$$
$$x_{22} = -37.598944421916$$
$$x_{23} = 86.3937979737193$$
$$x_{24} = -87.8644268793526$$
$$x_{25} = 64.4026493985908$$
$$x_{26} = -83.2522053201295$$
$$x_{27} = -95.8185759344887$$
$$x_{28} = -9.52494538193094$$
$$x_{29} = -1.5707963267949$$
$$x_{30} = -86.3937979737193$$
$$x_{31} = 94.3479470288554$$
$$x_{32} = 73.8274273593601$$
$$x_{33} = -39.2699081698724$$
$$x_{34} = -50.1653150362751$$
$$x_{35} = 67.5442420521806$$
$$x_{36} = 1270.77422837707$$
$$x_{37} = 70.6858347057703$$
$$x_{38} = -31.3157591147364$$
$$x_{39} = -72.3567984537268$$
$$x_{40} = -42.4115008234622$$
$$x_{41} = -51.8362787842316$$
$$x_{42} = 58.1194640914112$$
$$x_{43} = -73.8274273593601$$
$$x_{44} = 51.8362787842316$$
$$x_{45} = 21.890981153967$$
$$x_{46} = 29.845130209103$$
$$x_{47} = -45.553093477052$$
$$x_{48} = -12.4662031931976$$
$$x_{49} = -75.2980562649935$$
$$x_{50} = 80.1106126665397$$
$$x_{51} = 12.6665380355207$$
$$x_{52} = -58.1194640914112$$
$$x_{53} = 72.1564636114037$$
$$x_{54} = -36.1283155162826$$
$$x_{55} = 65.8732783042241$$
$$x_{56} = -28.3745013034697$$
$$x_{57} = -43.8821297290955$$
$$x_{58} = 78.4396489185833$$
$$x_{59} = -15.8081306891105$$
$$x_{60} = -67.5442420521806$$
$$x_{61} = -7.85398163397448$$
$$x_{62} = 48.6946861306418$$
$$x_{63} = 89.5353906273091$$
$$x_{64} = 50.3656498785983$$
$$x_{65} = 56.6488351857778$$
$$x_{66} = 37.7992792642391$$
$$x_{67} = 7.85398163397448$$
$$x_{68} = -14.1371669411541$$
$$x_{69} = -6.18301788601803$$
$$x_{70} = -97.4895396824452$$
$$x_{71} = 14.1371669411541$$
$$x_{72} = -59.7904278393676$$
$$x_{73} = -100.430797493712$$
$$x_{74} = 20.4203522483337$$
$$x_{75} = 45.553093477052$$
$$x_{76} = 95.8185759344887$$
$$x_{77} = 100.631132336035$$
$$x_{78} = -54.9778714378214$$
$$x_{79} = -89.5353906273091$$
$$x_{80} = 59.5900929970445$$
$$x_{81} = -81.5812415721731$$
$$x_{82} = 92.6769832808989$$
$$x_{83} = 0.10016742116156$$
$$x_{84} = 81.7815764144962$$
$$x_{85} = 84.7228342257629$$
$$x_{86} = -20.4203522483337$$
$$x_{87} = -61.261056745001$$
$$x_{88} = -56.4485003434547$$