If tan 2A = cot(A – 18), where 2A is an acute angle, find the value of A. Maths Questions, Trigonometry Questions / By mathemerize Solution : Given, tan 2A = cot(A – 18) \(\implies\) cot(90 – 2A) = cot(A – 18) \(\implies\) 90 – 2A = A – 18 \(\implies\) 3A = 108 \(\implies\) A = 36