# How do you find the asymptotes for y= -1/2 sec x?

x = an odd multiple of $\frac{\pi}{2}$.
sec (odd multiple of $\frac{\pi}{2}$) is $\pm \infty$.
The straight lines x= odd multiple of $\frac{\pi}{2}$ are asymptotic to the periodic graph in both positive and negative directions of y-axis.i