El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\left(25 \sin{\left(200 x \right)} - 50 \cos{\left(200 x \right)}\right) e^{- 100 x} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \frac{\operatorname{atan}{\left(2 \right)}}{200}$$
Solución numérica$$x_{1} = 90.2477847179558$$
$$x_{2} = 32.2539843326882$$
$$x_{3} = 78.2469007812428$$
$$x_{4} = 30.2747809609266$$
$$x_{5} = 98.2902619111456$$
$$x_{6} = 76.2519894462133$$
$$x_{7} = 6.25730512423266$$
$$x_{8} = 24.2586310293022$$
$$x_{9} = 58.2506635411437$$
$$x_{10} = 40.2493376360742$$
$$x_{11} = 26.2535423643317$$
$$x_{12} = 22.2480117310047$$
$$x_{13} = 66.2460168445298$$
$$x_{14} = 62.2561941744707$$
$$x_{15} = 36.2909308925511$$
$$x_{16} = 12.2577470925892$$
$$x_{17} = 100.253757319639$$
$$x_{18} = 10.2471277942917$$
$$x_{19} = 70.2515474778567$$
$$x_{20} = 34.2488956677177$$
$$x_{21} = 48.2500711716505$$
$$x_{22} = 18.2581890609457$$
$$x_{23} = 52.2502215727872$$
$$x_{24} = 46.2497796044307$$
$$x_{25} = 28.2484536993612$$
$$x_{26} = 64.2511055095002$$
$$x_{27} = 20.2531003959752$$
$$x_{28} = 94.2533153512828$$
$$x_{29} = 82.2524314145698$$
$$x_{30} = 84.2473427495993$$
$$x_{31} = 0.256863155876154$$
$$x_{32} = 44.2548682694012$$
$$x_{33} = 80.2575200795402$$
$$x_{34} = 86.2579620478967$$
$$x_{35} = 16.2475697626482$$
$$x_{36} = 42.3699126772473$$
$$x_{37} = 50.2553102377577$$
$$x_{38} = 72.2464588128863$$
$$x_{39} = 8.25221645926218$$
$$x_{40} = 38.2544263010447$$
$$x_{41} = 74.2570781111837$$
$$x_{42} = 2.25177449090567$$
$$x_{43} = 92.2584040162533$$
$$x_{44} = 56.2557522061142$$
$$x_{45} = 60.2455748761733$$
$$x_{46} = 68.2566361428272$$
$$x_{47} = 14.2526584276187$$
$$x_{48} = 54.2608408710847$$
$$x_{49} = 4.24668582593519$$
$$x_{50} = 88.2528733829263$$
$$x_{51} = 96.2482266863123$$