Write an algebraic expression that is equivalent to the expression. cot(arctan 5/x+2)

Question

Stuck on this question for Inverse Trig Functions.

Answer 1

cotA = 1/tanA, tan(arctanA) = A,

A=5/x+2, 1/tan(arxtanA) = 1/A

cot(arctan(5/x +2) =

1/tan(arctan(5/x+2) =

1/(5/x+ 2)