El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{197 \cos^{2}{\left(\frac{3 \frac{\pi x}{2}}{2} \right)}}{1000} - \frac{109 \cos{\left(\frac{\pi x}{\frac{3}{2}} \right)}}{100} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución numérica$$x_{1} = -45.7169563127939$$
$$x_{2} = 45.7169563127939$$
$$x_{3} = 9.71695631279395$$
$$x_{4} = -63.7000099786517$$
$$x_{5} = 2.28304368720605$$
$$x_{6} = -86.2830436872061$$
$$x_{7} = -74.2830436872061$$
$$x_{8} = 98.2830436872061$$
$$x_{9} = 74.2830436872061$$
$$x_{10} = -32.2999900213483$$
$$x_{11} = 62.2830436872061$$
$$x_{12} = 27.7000099786517$$
$$x_{13} = -89.3367652043401$$
$$x_{14} = -21.7169563127939$$
$$x_{15} = 92.2999900213483$$
$$x_{16} = 38.2830436872061$$
$$x_{17} = 51.7000099786517$$
$$x_{18} = -68.2999900213483$$
$$x_{19} = 69.7169563127939$$
$$x_{20} = 54.6632347956599$$
$$x_{21} = 90.6632347956599$$
$$x_{22} = 3.70000997865169$$
$$x_{23} = -75.7000099786517$$
$$x_{24} = -44.2999900213483$$
$$x_{25} = -33.7169563127939$$
$$x_{26} = -81.7169563127939$$
$$x_{27} = -39.7000099786517$$
$$x_{28} = 42.6632347956599$$
$$x_{29} = -53.3367652043401$$
$$x_{30} = 30.6632347956599$$
$$x_{31} = 68.2999900213483$$
$$x_{32} = -77.3367652043401$$
$$x_{33} = -3.70000997865169$$
$$x_{34} = 81.7169563127939$$
$$x_{35} = -14.2830436872061$$
$$x_{36} = -8.29999002134831$$
$$x_{37} = -41.3367652043401$$
$$x_{38} = -93.7169563127939$$
$$x_{39} = -9.71695631279395$$
$$x_{40} = 57.7169563127939$$
$$x_{41} = 50.2830436872061$$
$$x_{42} = 63.7000099786517$$
$$x_{43} = -51.7000099786517$$
$$x_{44} = 26.2830436872061$$
$$x_{45} = -27.7000099786517$$
$$x_{46} = -99.7000099786517$$
$$x_{47} = 6.66323479565987$$
$$x_{48} = 80.2999900213483$$
$$x_{49} = -69.7169563127939$$
$$x_{50} = -87.7000099786517$$
$$x_{51} = 102.66323479566$$
$$x_{52} = -2.28304368720605$$
$$x_{53} = 33.7169563127939$$
$$x_{54} = -15.7000099786517$$
$$x_{55} = -56.2999900213483$$
$$x_{56} = -62.2830436872061$$
$$x_{57} = -5.33676520434013$$
$$x_{58} = -38.2830436872061$$
$$x_{59} = 39.7000099786517$$
$$x_{60} = 75.7000099786517$$
$$x_{61} = 44.2999900213483$$
$$x_{62} = 15.7000099786517$$
$$x_{63} = -50.2830436872061$$
$$x_{64} = -26.2830436872061$$
$$x_{65} = -80.2999900213483$$
$$x_{66} = 86.2830436872061$$
$$x_{67} = 20.2999900213483$$
$$x_{68} = 8.29999002134831$$
$$x_{69} = -20.2999900213483$$
$$x_{70} = 14.2830436872061$$
$$x_{71} = 21.7169563127939$$
$$x_{72} = 18.6632347956599$$
$$x_{73} = 66.6632347956599$$
$$x_{74} = -17.3367652043401$$
$$x_{75} = -92.2999900213483$$
$$x_{76} = -29.3367652043401$$
$$x_{77} = -65.3367652043401$$
$$x_{78} = -98.2830436872061$$
$$x_{79} = -57.7169563127939$$
$$x_{80} = 87.7000099786517$$
$$x_{81} = 56.2999900213483$$
$$x_{82} = 78.6632347956599$$
$$x_{83} = 99.7000099786517$$
$$x_{84} = 93.7169563127939$$
$$x_{85} = 32.2999900213483$$