Question

if tan2A= cot (A-12),where 2A is an acute angle find A

Answer 1

your answer is in image....
hope it helpful to you

Answer 2

Answer: The value of angle A is 34°.

Step-by-step explanation:

Since we have given that

tan 2A = cot(A-12)

Since we know that

tan (90°-A) = cot A

So, it becomes,

$\tan 2A=\cot (A-12)\\\\\cot(90-2A)=\cot(A-12)\\\\90-2A=A-12\\\\90+12=A+2A\\\\102=3A\\\\\dfrac{102}{3}=A\\\\34^\circ=A$

Hence, the value of angle A is 34°.