Question

The statement "cot theta= 12/5, sec theta = -13/5, and the terminal point determined by theta in quadrant 4"

Answer 1

If cot θ = 12/5, then tan θ = 5/12.
If sec θ = -13/5, then cos θ = -5/13

For tan θ to be positive while cos θ is negative, the quadrant is 3.
The figure below shows θ graphed as a reference angle in quadrant 3.

Answer:
The statement that θ is in quadrant 4 is FALSE.