ANSWER
2nd and 3rd quadrant.
Step-by-step explanation
The given trigonometric equation is:
![\sec(x) = - 2](https://img.qammunity.org/2020/formulas/mathematics/high-school/483x2fn6y2o2gkg8fwx7jl27t6wqiie79z.png)
The secant ratio is negative in the second and third quadrant.
But it is positive in the first and fourth quadrants.
The given secant ratio is negative.
This implies that , the solution to given equation lies in the second and third quadrant.