as you know
sin = opp / hyp
cos = adj / hyp
tan = opp/adj
so
tan(Y) = opp/adj = 8/15
cos (X) = adj / hyp = 8/17
tan(X) = opp/adj = 15/8
sin(Y) = opp / hyp = 8/17
cos(Y) = adj / hyp = 15/17
so answers
tan(Y) = opp/adj = 8/15
tan(X) = opp/adj = 15/8
sin(Y) = opp / hyp = 8/17