If cot x = -5/12 and x lies in the SECOND quadrant, then sin x equals:

cot x = cos x / sin x = -5/12. Using 1 + cot²x = cosec²x: cosec²x = 1 + 25/144 = 169/144 → cosec x = ±13/12. In Quadrant II, sin x > 0 so cosec x > 0 We have → cosec x = 13/12 → sin. So x = 12/13.