You can put this solution on YOUR website! Given cosx= -12/13 what does cscx and cotx equal?
You are working with a (5-12-13) reference right triangle in either quadrants II and III in which cos<0.
In quadrant II:
cscx=13/5
cotx=-12/5
..
In quadrant III
cscx=-13/5
cotx=12/5