ok I looked up quadrantal angle - it is just one that is not specifically in any quadrant ie 90k degress where k is an integer.
\(sec\; \theta < 0\\ \frac{1}{cos\;\theta}\;<0\\ cos\theta <0\\ \text{This is true when }\\\theta\;\; \text{is in the second or third quad }\\\text{and when }\theta=\pm180k\;\;degrees \;\;k\in Z\)
So Metalica, your answer is correct :)