Graph of the function intersects the axis X at f = 0
so we need to solve the equation:
$$\frac{\sin^{2}{\left(x \right)}}{\cos{\left(x \right)}} = 0$$
Solve this equationThe points of intersection with the axis X:
Analytical solution$$x_{1} = 0$$
$$x_{2} = \pi$$
Numerical solution$$x_{1} = -59.6902604579627$$
$$x_{2} = -37.6991118773749$$
$$x_{3} = 12.5663704329274$$
$$x_{4} = 3.14159332506585$$
$$x_{5} = 50.265482446331$$
$$x_{6} = -62.8318524378967$$
$$x_{7} = -34.5575188250568$$
$$x_{8} = 53.4070755022832$$
$$x_{9} = -65.9734457648377$$
$$x_{10} = -84.8230023359423$$
$$x_{11} = 59.6902606242892$$
$$x_{12} = 25.1327406025294$$
$$x_{13} = -6.28318511636354$$
$$x_{14} = 15.7079634638398$$
$$x_{15} = -18.8495552629365$$
$$x_{16} = -78.5398159881807$$
$$x_{17} = 37.6991120440566$$
$$x_{18} = -40.8407051595079$$
$$x_{19} = -100.530964569618$$
$$x_{20} = -15.7079632966714$$
$$x_{21} = -28.2743336965558$$
$$x_{22} = -91.1061873420292$$
$$x_{23} = -97.3893724672266$$
$$x_{24} = 75.3982240843678$$
$$x_{25} = -12.5663702433638$$
$$x_{26} = 47.1238891892412$$
$$x_{27} = 21.9911485852154$$
$$x_{28} = -31.4159267270698$$
$$x_{29} = -87.9645943584581$$
$$x_{30} = 28.274333865158$$
$$x_{31} = 100.530964752721$$
$$x_{32} = -69.1150387601409$$
$$x_{33} = -9.42477814706151$$
$$x_{34} = -94.2477794370922$$
$$x_{35} = 69.1150377756597$$
$$x_{36} = 91.1061876809771$$
$$x_{37} = -72.2566308569174$$
$$x_{38} = -43.9822971744994$$
$$x_{39} = 9.42477833842133$$
$$x_{40} = 72.2566310277163$$
$$x_{41} = 25.1327419134392$$
$$x_{42} = -25.1327415966545$$
$$x_{43} = 91.1061863617978$$
$$x_{44} = 87.9645943360531$$
$$x_{45} = 65.9734457530652$$
$$x_{46} = 81.6814092045399$$
$$x_{47} = 97.3893726665604$$
$$x_{48} = 40.8407041479024$$
$$x_{49} = -47.1238901783506$$
$$x_{50} = -40.8407038505852$$
$$x_{51} = -62.8318537475395$$
$$x_{52} = 34.5575190128984$$
$$x_{53} = 69.1150390913744$$
$$x_{54} = 47.1238905022021$$
$$x_{55} = -53.4070753070989$$
$$x_{56} = 94.2477796093522$$
$$x_{57} = -75.3982238871507$$
$$x_{58} = -21.9911485864319$$
$$x_{59} = 56.5486675928533$$
$$x_{60} = 6.28318528416575$$
$$x_{61} = -18.8495565718301$$
$$x_{62} = 3.14159201551055$$
$$x_{63} = 78.5398161727936$$
$$x_{64} = 62.8318527292552$$
$$x_{65} = -81.6814090384499$$
$$x_{66} = 18.8495555664687$$
$$x_{67} = 31.4159269203024$$
$$x_{68} = 84.82300131053$$
$$x_{69} = -3.14159301504925$$
$$x_{70} = -50.2654822767396$$
$$x_{71} = -56.5486674066613$$
$$x_{72} = -84.8230010248866$$
$$x_{73} = 0$$
$$x_{74} = 43.9822971695024$$