Question

If tan2A=cot(A-18°),where 2Ais an acute angle,find the value of A.

Answer 1

Answer:

tan 2A = cot ( A - 18 )

cot (90 - 2A ) = cot (A - 18 )

90 - 2A = A - 18

90 - 18 = 3A

3A = 72

A = 24 °

hope it helps

Answer 2

Answer:

$<font color= "blue">$Hey mate answer of your question is given below by me...

Step-by-step explanation:

Given that..

tan 2A=cot(A-18 degree)

tan 2A= cot (90degree-2a)

cot(90-2a)= cot(A-18)

90 degree -2A and A-28 degree both are acute angle ..

Therefore...

90-2A=A-18.

-2A-A=-18-90

-3A= -108

A= -108/-3

A= 36 degree

Your answer is 36 degree..

I hope it can help you...