Question

what quadrant if sec theta > 0 and cot theta < 0. How do you figure?

Answer 1

IV

Answer 2

just remember what is sec & cot means...
sec=1/cos and cot = cos/sin
so, if sec >0 , so theta should be in I or IV quadrant, but you have cot <0,
which means that sin should be <0
it will leave you with IV quadrant as an answer