Graph of the function intersects the axis X at f = 0
so we need to solve the equation:
$$\sin{\left(\frac{x}{4} \right)} = 0$$
Solve this equationThe points of intersection with the axis X:
Analytical solution$$x_{1} = 0$$
$$x_{2} = 4 \pi$$
Numerical solution$$x_{1} = 62.8318530717959$$
$$x_{2} = -50.2654824574367$$
$$x_{3} = 25.1327412287183$$
$$x_{4} = -75.398223686155$$
$$x_{5} = -929.911425462579$$
$$x_{6} = 2927.96435314569$$
$$x_{7} = 12.5663706143592$$
$$x_{8} = 87.9645943005142$$
$$x_{9} = -37.6991118430775$$
$$x_{10} = -100.530964914873$$
$$x_{11} = 0$$
$$x_{12} = -12.5663706143592$$
$$x_{13} = 490.088453960008$$
$$x_{14} = 50.2654824574367$$
$$x_{15} = -17002.299441228$$
$$x_{16} = -62.8318530717959$$
$$x_{17} = 188.495559215388$$
$$x_{18} = 37.6991118430775$$
$$x_{19} = -87.9645943005142$$
$$x_{20} = -25.1327412287183$$
$$x_{21} = 100.530964914873$$
$$x_{22} = 75.398223686155$$