A line makes an angle of $\large\frac{\pi}{4}$ with each of $x$ - axis and $y$ - axis. Find the angle between the line and the $z$ -axis.

Question

$\begin{array}{1 1} \large\frac{\pi}{2} \\1 \\\large\frac{\pi}{6} \\ \large\frac{\pi}{4} \end{array}$