Trigonometry (11th Edition) Clone

$x = \frac{5\pi}{4} + \pi~n$, where $n$ is any integer
The function $y = -2-cot(x-\frac{\pi}{4})$ is undefined when $x = \frac{5\pi}{4}$ We can find the general form of the equation of the asymptotes: $x = \frac{5\pi}{4} + \pi~n$, where $n$ is any integer