A line makes the same angle \[\theta \], with each of the x and z axis.
If the angle \[\beta \,\], which it makes with y-axis, is such that \[\,{\sin ^2}\beta = 3{\sin ^2}\theta ,\] then \[{\cos ^2}\theta \] equals :
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Official solution
Concept : If a line makes the angle \[\alpha ,\beta ,\gamma \] with x, y, z axis respectively then
\[ {\cos ^2}\alpha + {\cos ^2}\beta + {\cos ^2}\gamma = 1\]