Question

If tan 2A=
cot (A-18°) where 2A is an acute angle. Find the value of A​

Answer 1

$\ \: \: tan(2a) = \cot(a - 18) \\ \\ - > \tan(2a) = \tan(90 - (a - 18) ) \\ \\ - > \tan(2a) = \tan(108 - a) \\ \\ - > 2a \: = 108 - a \: \: (tan \: get \: cancelled) \\ \\ - > 3a \: = 108 \\ \\ - > a \: = 36$