If a line makes angle $\frac{\pi}{3}$ and $\frac{\pi}{4}$ with the $x$-axis and $y$-axis respectively, then the angle made by the line with the $z$-axis is :

Question

( A ) $\frac{\pi}{4}$
( B ) $\frac{\pi}{2}$
( C ) $\frac{5\pi}{12}$
( D ) $\frac{\pi}{3}$