If I have the angle sec theta < 0 , what are the locations for the terminal side of each angle ?
A. Quadrant I
B. Quadrant II
C. Quadrant II
D. Quadrant IV
E. Quadrantal Angle
I have that the locations are Quarant II, Quadrant III, and Quadrantal Angle.
Quadrants 2 and 3 is right.
I have never heard the term quadrantal angle before ://
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 :)