Graph of the function intersects the axis X at f = 0
so we need to solve the equation:
$$\sin{\left(x \right)} + 1 = 0$$
Solve this equationThe points of intersection with the axis X:
Analytical solution$$x_{1} = - \frac{\pi}{2}$$
$$x_{2} = \frac{3 \pi}{2}$$
Numerical solution$$x_{1} = 67.54424230971$$
$$x_{2} = 4.71239022926564$$
$$x_{3} = -14.1371674455661$$
$$x_{4} = 23.5619437708833$$
$$x_{5} = -1.57079643188553$$
$$x_{6} = 48.6946873020308$$
$$x_{7} = 86.3937978869933$$
$$x_{8} = -102.101761026058$$
$$x_{9} = 92.6769830592094$$
$$x_{10} = -7.85398149665124$$
$$x_{11} = -83.2522055723275$$
$$x_{12} = -26.7035372004893$$
$$x_{13} = -51.8362791922783$$
$$x_{14} = -14.1371667858125$$
$$x_{15} = 29.845130330036$$
$$x_{16} = 98.9601682515978$$
$$x_{17} = 42.4115007162407$$
$$x_{18} = 36.1283150875497$$
$$x_{19} = 538.783139388541$$
$$x_{20} = 42.4115013353669$$
$$x_{21} = -45.5530935025548$$
$$x_{22} = -89.5353901118113$$
$$x_{23} = 80.1106130902139$$
$$x_{24} = -32.9867232184024$$
$$x_{25} = -39.2699076683741$$
$$x_{26} = -39.2699069219675$$
$$x_{27} = -7.85398205280014$$
$$x_{28} = -70.6858343571487$$
$$x_{29} = 86.3937984838325$$
$$x_{30} = -14.1371668370864$$
$$x_{31} = -70.6858351534454$$
$$x_{32} = -70.6858331259916$$
$$x_{33} = 4.71238874329685$$
$$x_{34} = -20.420353265929$$
$$x_{35} = -64.4026491641039$$
$$x_{36} = 67.5442415586719$$
$$x_{37} = 4.7123894841958$$
$$x_{38} = 48.6946866365921$$
$$x_{39} = -20.4203527465087$$
$$x_{40} = 23.5619444059921$$
$$x_{41} = -95.818575476176$$
$$x_{42} = 61.2610563112167$$
$$x_{43} = -1.57079581340397$$
$$x_{44} = -83.2522048211133$$
$$x_{45} = -89.5353906059052$$
$$x_{46} = 98.9601692809083$$
$$x_{47} = 80.1106122287081$$
$$x_{48} = 10.9955747360645$$
$$x_{49} = 29.8451297031011$$
$$x_{50} = -32.9867224188086$$
$$x_{51} = -76.9690195738024$$
$$x_{52} = 92.6769843439965$$
$$x_{53} = -95.8185763308148$$
$$x_{54} = 73.8274274830848$$
$$x_{55} = -58.1194645939029$$
$$x_{56} = 29.8451303231501$$
$$x_{57} = 36.1283157235346$$
$$x_{58} = -64.4026498988255$$
$$x_{59} = 67.5442408278864$$
$$x_{60} = -45.5530929624673$$
$$x_{61} = -58.1194639976905$$
$$x_{62} = -7.85398119154045$$
$$x_{63} = 86.3937978309099$$
$$x_{64} = -58.1194639046052$$
$$x_{65} = 54.9778710948428$$
$$x_{66} = 23.5619451518571$$
$$x_{67} = 98.9601690454399$$
$$x_{68} = 92.6769837888103$$
$$x_{69} = -45.5530935911043$$
$$x_{70} = 17.2787591562062$$
$$x_{71} = -20.4203520060805$$
$$x_{72} = -95.8185758680502$$
$$x_{73} = -89.535390750197$$
$$x_{74} = 73.8274274426229$$
$$x_{75} = 61.2610571125526$$
$$x_{76} = -76.9690203748894$$
$$x_{77} = 80.1106131368654$$
$$x_{78} = 10.9955739381756$$
$$x_{79} = -83.2522042893833$$
$$x_{80} = -1.57079639503667$$
$$x_{81} = -39.2699084145515$$
$$x_{82} = 73.8274268520838$$
$$x_{83} = 54.9778718908148$$
$$x_{84} = 42.4115007274741$$
$$x_{85} = -26.7035379986821$$
$$x_{86} = 48.6946859012172$$
$$x_{87} = 48.6946870830469$$
$$x_{88} = 17.2787599560783$$
$$x_{89} = -51.8362783335234$$
$$x_{90} = -51.8362786893284$$
$$x_{91} = 36.1283159497235$$
$$x_{92} = -64.4026502975618$$