The problem and answer choices are shown in the picture!

Csc  =  hypotenuse / opposite  =  13/12

sec  =  hypotenuse / adjacent  =  -13/5

cot  =  adjacent / opposite  =  -5/12

If you stare at these long enough, massage them and roll them around,
(and remember that the hypotenuse is always positive in the circle), it
eventually dawns on you that

       adjacent  =  -5
       opposite  =  12
       hypotenuse = 13

Draw the angle in the circle, and the end of it is in the second quadrant,
at    (-5, 12) .