Reciprocal or quotient identities

Question

find cot x if csc x = -3 time sqr root of 5 divided by 5, sec x = -3/2

Answer 1

Answer 2

find cot x if csc x = -3(√5/5), and sec x = -3/2, then cos x = -2/3

and csc x = 1/sin x and sec x = 1/cos x, then sin x = -5/(3√5)

cot x = cos x / sin x = (-2/3)/(-5/3√5) =2√5/5 = 0.8944