(Q15)If tan 2A=cot(A-18°),where 2A is an acute angle.Find the value of A

answer

Given that tan 2A=cot(A-18°)

cot(°-2A)=cot(A-18°)

[tan θ= cot(- θ)]

° - 2A=A - 18°

3A=°

A=°