Answer:
3/2 or 2/3
Step-by-step explanation:
cosec A = 13/12 (A could be in 1st or 2nd quadrant)
Cot A: positive in 1st quadrant, negative in 2nd quadrant
sin A = 12/13
cos A = ± √1 - sin² A = ± √1 - (12/13)² = ± 5/13
cot A = cos A / sin A = ±(5/13) / (12/13) = ±5/12
cot A + cosec A = 5/12 + 13/12 = 18/12 = 3/2
or cot A + cosec A = - 5/12 + 13/12 = 8/12 = 2/3
