Question

if tan2A=cot(A-18) where 2A is acute angle find A

Answer 1

tan A= cot(90-A)
2A= 90-A+18
3A=108
A=36

Answer 2

tan2A=cot(A-18)
as we know cot=tan(90-A)
tan(90-2A)=cot(A-18)
cot(90-2A)=cot(A-18)
90-2A=A-18
108=3A
A=36