El gráfico de la función cruce el eje X con f = 0
o sea hay que resolver la ecuación:
$$\sin^{2}{\left(x \right)} - \cos{\left(x \right)} = 0$$
Resolvermos esta ecuaciónPuntos de cruce con el eje X:
Solución analítica$$x_{1} = - 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
$$x_{2} = 2 \operatorname{atan}{\left(\sqrt{-2 + \sqrt{5}} \right)}$$
Solución numérica$$x_{1} = 7.18774220148197$$
$$x_{2} = -11.6618137200568$$
$$x_{3} = 82.585965887637$$
$$x_{4} = -68.2104814846731$$
$$x_{5} = 63.7364099660982$$
$$x_{6} = -76.3027805804574$$
$$x_{7} = -26.0372981230207$$
$$x_{8} = 55.6441108703139$$
$$x_{9} = 70.0195952732778$$
$$x_{10} = 36.7945549487751$$
$$x_{11} = -93.3432227133914$$
$$x_{12} = -38.6036687373799$$
$$x_{13} = 13.4709275086616$$
$$x_{14} = -51.1700393517391$$
$$x_{15} = -88.8691511948166$$
$$x_{16} = -70.0195952732778$$
$$x_{17} = -13.4709275086616$$
$$x_{18} = -17.9449990272364$$
$$x_{19} = -1004.40509225443$$
$$x_{20} = 51.1700393517391$$
$$x_{21} = -19.7541128158411$$
$$x_{22} = -24.228184334416$$
$$x_{23} = -32.3204834302003$$
$$x_{24} = -80.7768520990322$$
$$x_{25} = 26.0372981230207$$
$$x_{26} = -49.3609255631343$$
$$x_{27} = 87.0600374062118$$
$$x_{28} = -82.585965887637$$
$$x_{29} = 187.591002321085$$
$$x_{30} = -44.8868540445595$$
$$x_{31} = 2141.66163285394$$
$$x_{32} = -95.1523365019962$$
$$x_{33} = 32.3204834302003$$
$$x_{34} = 80.7768520990322$$
$$x_{35} = 43.0777402559547$$
$$x_{36} = 88.8691511948166$$
$$x_{37} = -57.4532246589187$$
$$x_{38} = -63.7364099660982$$
$$x_{39} = -36.7945549487751$$
$$x_{40} = 24.228184334416$$
$$x_{41} = 74.4936667918527$$
$$x_{42} = 11.6618137200568$$
$$x_{43} = 95.1523365019962$$
$$x_{44} = 99.626408020571$$
$$x_{45} = 19.7541128158411$$
$$x_{46} = -139.134633652253$$
$$x_{47} = 101.435521809176$$
$$x_{48} = -0.904556894302381$$
$$x_{49} = -7.18774220148197$$
$$x_{50} = -74.4936667918527$$
$$x_{51} = 61.9272961774935$$
$$x_{52} = -200.157372935444$$
$$x_{53} = 5.37862841287721$$
$$x_{54} = -99.626408020571$$
$$x_{55} = 38.6036687373799$$
$$x_{56} = 76.3027805804574$$
$$x_{57} = 68.2104814846731$$
$$x_{58} = 49.3609255631343$$
$$x_{59} = 44.8868540445595$$
$$x_{60} = -61.9272961774935$$
$$x_{61} = 30.5113696415956$$
$$x_{62} = 57.4532246589187$$
$$x_{63} = -5.37862841287721$$
$$x_{64} = -30.5113696415956$$
$$x_{65} = 17.9449990272364$$
$$x_{66} = -55.6441108703139$$