Graph of the function intersects the axis X at f = 0
so we need to solve the equation:
$$\sin{\left(10 x \right)} = 0$$
Solve this equationThe points of intersection with the axis X:
Analytical solution$$x_{1} = 0$$
$$x_{2} = \frac{\pi}{10}$$
Numerical solution$$x_{1} = -61.8893752757189$$
$$x_{2} = 14.1371669411541$$
$$x_{3} = -3.76991118430775$$
$$x_{4} = -63.7743308678728$$
$$x_{5} = 60.0044196835651$$
$$x_{6} = 40.2123859659494$$
$$x_{7} = 72.2566310325652$$
$$x_{8} = -43.9822971502571$$
$$x_{9} = -13.8230076757951$$
$$x_{10} = 24.1902634326414$$
$$x_{11} = -89.8495498926681$$
$$x_{12} = 16.0221225333079$$
$$x_{13} = -27.9601746169492$$
$$x_{14} = -31.7300858012569$$
$$x_{15} = -49.9513231920777$$
$$x_{16} = 68.1725605828985$$
$$x_{17} = -51.8362787842316$$
$$x_{18} = 30.159289474462$$
$$x_{19} = -1.88495559215388$$
$$x_{20} = -21.9911485751286$$
$$x_{21} = 50.2654824574367$$
$$x_{22} = -9.73893722612836$$
$$x_{23} = 78.2256570743859$$
$$x_{24} = -33.9292006587698$$
$$x_{25} = -35.8141562509236$$
$$x_{26} = -87.9645943005142$$
$$x_{27} = 21.9911485751286$$
$$x_{28} = -69.7433569096934$$
$$x_{29} = -25.7610597594363$$
$$x_{30} = 90.1637091580271$$
$$x_{31} = 12.2522113490002$$
$$x_{32} = -47.7522083345649$$
$$x_{33} = 70.0575161750524$$
$$x_{34} = 20.1061929829747$$
$$x_{35} = 2.19911485751286$$
$$x_{36} = -5.96902604182061$$
$$x_{37} = -57.8053048260522$$
$$x_{38} = 48.0663675999238$$
$$x_{39} = 26.0752190247953$$
$$x_{40} = -98.0176907920015$$
$$x_{41} = 8.16814089933346$$
$$x_{42} = -29.845130209103$$
$$x_{43} = 32.0442450666159$$
$$x_{44} = -60.0044196835651$$
$$x_{45} = -99.9026463841554$$
$$x_{46} = 10.0530964914873$$
$$x_{47} = -81.9955682586936$$
$$x_{48} = 4.08407044966673$$
$$x_{49} = 56.2345084992573$$
$$x_{50} = -11.9380520836412$$
$$x_{51} = -65.9734457253857$$
$$x_{52} = 96.1327351998477$$
$$x_{53} = 94.2477796076938$$
$$x_{54} = -71.9424717672063$$
$$x_{55} = 37.6991118430775$$
$$x_{56} = -19.7920337176157$$
$$x_{57} = -53.4070751110265$$
$$x_{58} = 84.1946831162065$$
$$x_{59} = -39.8982267005904$$
$$x_{60} = -77.9114978090269$$
$$x_{61} = 36.1283155162826$$
$$x_{62} = 18.2212373908208$$
$$x_{63} = -45.867252742411$$
$$x_{64} = -93.9336203423348$$
$$x_{65} = 76.026542216873$$
$$x_{66} = 80.1106126665397$$
$$x_{67} = -79.7964534011807$$
$$x_{68} = 0$$
$$x_{69} = -23.8761041672824$$
$$x_{70} = 54.0353936417444$$
$$x_{71} = 58.1194640914112$$
$$x_{72} = -38.0132711084365$$
$$x_{73} = 52.1504380495906$$
$$x_{74} = 100.216805649514$$
$$x_{75} = -16.0221225333079$$
$$x_{76} = 92.0486647501809$$
$$x_{77} = 64.0884901332318$$
$$x_{78} = 98.0176907920015$$
$$x_{79} = -95.8185759344887$$
$$x_{80} = 34.2433599241287$$
$$x_{81} = -41.7831822927443$$
$$x_{82} = 46.18141200777$$
$$x_{83} = -17.9070781254618$$
$$x_{84} = 86.0796387083603$$
$$x_{85} = 38.0132711084365$$
$$x_{86} = -55.9203492338983$$
$$x_{87} = 62.2035345410779$$
$$x_{88} = -83.8805238508475$$
$$x_{89} = -91.734505484822$$
$$x_{90} = 74.1415866247191$$
$$x_{91} = 43.9822971502571$$
$$x_{92} = 42.0973415581032$$
$$x_{93} = -67.8584013175395$$
$$x_{94} = -73.8274273593601$$
$$x_{95} = 81.9955682586936$$
$$x_{96} = -136.659280431156$$
$$x_{97} = -85.7654794430014$$
$$x_{98} = -7.85398163397448$$
$$x_{99} = 88.5929128312322$$