If tan 2A = cot (A - 18°), where 2A is an acute angle, find the value of A

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

Answer

tan 2A = cot (A - 18°)

90°- 2A = A - 18°

3A = 108°

A = 36°

• Exam Year: 2018