Please see the attachment for the question.

Answer:
sin ∅ = -18/√405 cos ∅ = -9/√405 sec ∅= - √405/9 csc ∅ = - √405/18 tan ∅ = - 18/9
Step-by-step explanation:
cot ∅ = -9/18
cot ∅ = 1/tan ∅
tan ∅= 1/cot ∅ = 1/(-9/18) = - 18/9
tan ∅ = opposite/adjacent
to get hypotenus
hypotenus² = opposite² + adjacent²
hypotenus² = -9² + 18² = 81 + 324 = 405
hypotenus = √405
sin ∅ = opposite/hypotenus = - 18/√405
cos ∅ = adjacent/ hypotenus = -9/√405
sec ∅ = 1/cos ∅ = 1/-9/√405 = -√405/9
csc ∅=1/sin ∅ = 1/( -18/√405) = -√405/18
sin ∅ = -18/√405 cos ∅ = -9/√405 sec ∅= - √405/9 csc ∅ = - √405/18 tan ∅ = - 18/9