El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin{\left(7 x \right)} \cos{\left(11 x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = 0$$
$$x_{2} = - \frac{\pi}{22}$$
$$x_{3} = \frac{\pi}{22}$$
Solución numérica$$x_{1} = 62.1178547414345$$
$$x_{2} = -70.0126362800011$$
$$x_{3} = -77.6422184387192$$
$$x_{4} = -67.768641527437$$
$$x_{5} = -27.5603355519468$$
$$x_{6} = 14.1371669411541$$
$$x_{7} = 70.0126362800011$$
$$x_{8} = 61.261056745001$$
$$x_{9} = -11.8523722839979$$
$$x_{10} = 68.2174404779498$$
$$x_{11} = 72.2566310325652$$
$$x_{12} = -45.7774929523084$$
$$x_{13} = 42.4115008234622$$
$$x_{14} = -89.7597901025655$$
$$x_{15} = -11.6687727133335$$
$$x_{16} = -97.5321719273558$$
$$x_{17} = -51.8362787842316$$
$$x_{18} = -14.1371669411541$$
$$x_{19} = 4.48798950512828$$
$$x_{20} = -21.9911485751286$$
$$x_{21} = 50.2654824574367$$
$$x_{22} = 98.2869701623092$$
$$x_{23} = 64.4026493985908$$
$$x_{24} = -37.8419115091498$$
$$x_{25} = -84.1090033165631$$
$$x_{26} = 99.8169665845121$$
$$x_{27} = 21.9911485751286$$
$$x_{28} = 2.24399475256414$$
$$x_{29} = -53.2642754449542$$
$$x_{30} = -55.834669434255$$
$$x_{31} = -3.85559098395111$$
$$x_{32} = 18.1355575911774$$
$$x_{33} = 47.8378881342082$$
$$x_{34} = 33.6599212884621$$
$$x_{35} = -59.8330600842783$$
$$x_{36} = 88.1073939665865$$
$$x_{37} = 31.8647254864108$$
$$x_{38} = -25.8467395590797$$
$$x_{39} = 77.540218677239$$
$$x_{40} = -30.5183286348723$$
$$x_{41} = -29.845130209103$$
$$x_{42} = 7.62958215871807$$
$$x_{43} = -77.8258180093835$$
$$x_{44} = -39.9431065956417$$
$$x_{45} = -85.5369999772857$$
$$x_{46} = -18.1355575911774$$
$$x_{47} = 73.5418280272156$$
$$x_{48} = -47.8378881342082$$
$$x_{49} = -71.8282320343485$$
$$x_{50} = -19.7471538225644$$
$$x_{51} = 46.2262919028212$$
$$x_{52} = 16.7075609304548$$
$$x_{53} = 28.2743338823081$$
$$x_{54} = 95.5941764592323$$
$$x_{55} = 94.2477796076938$$
$$x_{56} = -44.1250968163294$$
$$x_{57} = 6.28318530717959$$
$$x_{58} = -88.1073939665865$$
$$x_{59} = 75.8266226843718$$
$$x_{60} = 62.4034540735791$$
$$x_{61} = -1.79519580205131$$
$$x_{62} = 39.045508694616$$
$$x_{63} = 342.005200243071$$
$$x_{64} = -62.1178547414345$$
$$x_{65} = 36.1283155162826$$
$$x_{66} = -63.7294509728215$$
$$x_{67} = -75.398223686155$$
$$x_{68} = 55.2022709130778$$
$$x_{69} = 51.8362787842316$$
$$x_{70} = 80.1106126665397$$
$$x_{71} = 27.5603355519468$$
$$x_{72} = 77.8258180093835$$
$$x_{73} = -23.7863443771799$$
$$x_{74} = 0$$
$$x_{75} = 58.1194640914112$$
$$x_{76} = -33.8435208591264$$
$$x_{77} = 66.1162453914579$$
$$x_{78} = 10.1387762911307$$
$$x_{79} = 54.6922721056769$$
$$x_{80} = -41.738302397693$$
$$x_{81} = -95.8185759344887$$
$$x_{82} = 29.845130209103$$
$$x_{83} = -92.0037848551297$$
$$x_{84} = -93.798980657181$$
$$x_{85} = 40.126706166306$$
$$x_{86} = 86.6793973058638$$
$$x_{87} = 24.2351433276927$$
$$x_{88} = -81.8242086594069$$
$$x_{89} = 25.5611402269351$$
$$x_{90} = 84.1090033165631$$
$$x_{91} = 93.3501817066681$$
$$x_{92} = -73.8274273593601$$
$$x_{93} = -99.8169665845121$$
$$x_{94} = -5.56918697681827$$
$$x_{95} = -7.85398163397448$$
$$x_{96} = 92.0037848551297$$
$$x_{97} = -66.1162453914579$$