Graph of the function intersects the axis X at f = 0
so we need to solve the equation:
$$\sin{\left(2 x \right)} - 1 = 0$$
Solve this equationThe points of intersection with the axis X:
Analytical solution$$x_{1} = \frac{\pi}{4}$$
Numerical solution$$x_{1} = -8.63937954158422$$
$$x_{2} = -55.7632695910029$$
$$x_{3} = -5.49778727991785$$
$$x_{4} = -93.4623815953041$$
$$x_{5} = -36.9137139098865$$
$$x_{6} = 25.9181394614117$$
$$x_{7} = -46.3384918201522$$
$$x_{8} = -30.6305281172761$$
$$x_{9} = -58.9048620578704$$
$$x_{10} = 47.9092880421864$$
$$x_{11} = -68.3296400287794$$
$$x_{12} = -36.9137134891678$$
$$x_{13} = -18.064157700815$$
$$x_{14} = 85.6084000178882$$
$$x_{15} = 44.7676950874451$$
$$x_{16} = 79.3252146099091$$
$$x_{17} = 10.2101761576945$$
$$x_{18} = -99.745566754733$$
$$x_{19} = 41.6261028620108$$
$$x_{20} = -90.320788607123$$
$$x_{21} = -65.1880480738962$$
$$x_{22} = 63.6172514399813$$
$$x_{23} = -77.754418173028$$
$$x_{24} = 69.9004366227711$$
$$x_{25} = 13.3517690013813$$
$$x_{26} = 76.1836219129628$$
$$x_{27} = 60.4756584571505$$
$$x_{28} = 101.316363152916$$
$$x_{29} = -87.1791967606238$$
$$x_{30} = -65.1880477975749$$
$$x_{31} = 57.3340661848436$$
$$x_{32} = -96.6039736043971$$
$$x_{33} = 95.0331775275438$$
$$x_{34} = 98.1747705006042$$
$$x_{35} = -24.3473430701779$$
$$x_{36} = 29.0597322134693$$
$$x_{37} = 29.0597318077204$$
$$x_{38} = -87.1791963743373$$
$$x_{39} = -14.9225649210104$$
$$x_{40} = -49.4800844377116$$
$$x_{41} = -74.6128250890583$$
$$x_{42} = 3.92699088042162$$
$$x_{43} = 95.0331779096874$$
$$x_{44} = 32.2013247418177$$
$$x_{45} = -2.35619439286547$$
$$x_{46} = 91.8915852031867$$
$$x_{47} = 82.4668070362749$$
$$x_{48} = 22.7765465102862$$
$$x_{49} = 73.0420289540461$$
$$x_{50} = 13.3517690340018$$
$$x_{51} = -153.15264217109$$
$$x_{52} = 7.06858323491875$$
$$x_{53} = 79.3252147600926$$
$$x_{54} = -84.0376034464448$$
$$x_{55} = -40.0553062823371$$
$$x_{56} = 35.3429176094788$$
$$x_{57} = -80.8960110535094$$
$$x_{58} = -62.0464548641931$$
$$x_{59} = -46.3384914504975$$
$$x_{60} = 38.4845098780771$$
$$x_{61} = 51.0508803807674$$
$$x_{62} = 0.785397933202895$$
$$x_{63} = 7.06858364655338$$
$$x_{64} = -71.471233016533$$
$$x_{65} = 88.7499922419838$$
$$x_{66} = -33.7721210085969$$
$$x_{67} = -11.7809724257318$$
$$x_{68} = -62.0464545510179$$
$$x_{69} = -74.6128252689663$$
$$x_{70} = -8.6393795270917$$
$$x_{71} = -30.6305280514717$$
$$x_{72} = 51.0508807796768$$
$$x_{73} = 25.9181398404781$$
$$x_{74} = -24.3473428722772$$
$$x_{75} = 54.192473326822$$
$$x_{76} = 57.334066070126$$
$$x_{77} = 35.3429175338589$$
$$x_{78} = -80.8960106270747$$
$$x_{79} = -96.6039738449592$$
$$x_{80} = -43.1968992207295$$
$$x_{81} = -52.621676693071$$
$$x_{82} = 73.0420293451081$$
$$x_{83} = -2.35619429411883$$
$$x_{84} = 19.6349542839773$$
$$x_{85} = -43.1968987801324$$
$$x_{86} = -58.9048624818554$$
$$x_{87} = 16.4933612990544$$
$$x_{88} = 66.7588436646782$$
$$x_{89} = -14.9225653376224$$
$$x_{90} = -27.4889358588398$$
$$x_{91} = -21.2057506438029$$
$$x_{92} = -52.6216765719183$$