Use an addition or subtraction formula to simplify the expression:

Question

tan(2−u)=cot(f(u)).

Answer 1

tan(2−u)=cot(f(u))
take cot^-1 of both sides , (take the inverse cotangent)
cot^-1 [tan(2-u) ] = cot^-1 [cot(f(u)) \
cot^-1 [tan(2-u) ] = f(u)
cot^-1 [ cot(1/(2-u) ) ] = f(u)

1/(2-u) = f(u) , u ≠ 2

Answer 2

Use an addition or subtraction formula to simplify the expression:
tan(π/2−u)=cot(f(u)).