El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\frac{\cos^{4}{\left(x \right)}}{\sin^{8}{\left(x \right)}} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = \frac{\pi}{2}$$
$$x_{2} = \frac{3 \pi}{2}$$
Solución numérica$$x_{1} = -73.8271862417582$$
$$x_{2} = 36.1288477300127$$
$$x_{3} = 73.8280315076449$$
$$x_{4} = -23.562501016693$$
$$x_{5} = -95.8183689988582$$
$$x_{6} = -89.5360320741728$$
$$x_{7} = -45.5536777041556$$
$$x_{8} = 7.85449152519947$$
$$x_{9} = 86.3933782962641$$
$$x_{10} = -80.1102263625679$$
$$x_{11} = -36.1278676164983$$
$$x_{12} = -29.844797016313$$
$$x_{13} = 64.4022029141747$$
$$x_{14} = -1.57132463221051$$
$$x_{15} = 14.1376415539229$$
$$x_{16} = 51.8368513032823$$
$$x_{17} = 29.8456713193979$$
$$x_{18} = 42.4110273123967$$
$$x_{19} = 20.4198514705011$$
$$x_{20} = -67.5448547160677$$
$$x_{21} = -7.85358289784974$$
$$x_{22} = -14.1366881099702$$
$$x_{23} = -58.1190470243046$$
$$x_{24} = -51.8359968682099$$
$$x_{25} = 58.1200380754551$$
$$x_{26} = 95.8192119633269$$
$$x_{27} = 80.1114952338381$$