Respuesta :

sin θ = opposite leg/hypotenuse 
csc θ = hypotenuse /opposite leg =8/7

cot θ = adjacent leg/opposite leg

hypotenuse =8
opposite leg =7
We need to find adjacent leg.

(Opposite leg)² +(adjacent leg)² = hypotenuse²
7² + 
(adjacent leg)² =8²
(adjacent leg)² = 64 - 49
(adjacent leg)² = 15

adjacent leg=+/-√15
WE need only positive root,
so 
adjacent leg =√15

cot θ = √15/7 or 0.5533