Each of the angles \(\beta\) and \(\gamma\) that a given line makes with the positive \(y-\) and \(\mathrm{z}-\)axes, re…

Each of the angles \(\beta\) and \(\gamma\) that a given line makes with the positive \(y-\) and \(\mathrm{z}-\)axes, respectively, is half of the angle that this line makes with the positive \(\mathrm{x}-\)axes. Then the sum of all possible values of the angle \(\beta\) is

[JEE Main 2025, 3 Apr (Shift 2)]