Question

How do you find the two quadrants that `theta` could terminate given `sectheta=2`?

Answer 1

Quadrant 1 or Quadrant 4

Explanation:

sec t = 2
`cos t = 1/(sec t) = 1/2`
trig unit circle gives 2 solutions:
`cos t = 1/2` --> `t = +- pi/3`
So, t could be in Quadrant 1 or in Quadrant 4.