Question

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

Answer 1

Answer:

tan2A=cot(A-18)

cot(90-2A) = cot(A-18)..........(1)

Comparing both values in eq (1)

90-2A = A-18

108 = 3A

A = 36

Hope this will help you.

Answer 2

Answer:

A=36 degree

Step-by-step explanation:

tan 2A= Cot(A-18 deg)

tan 2A= Tan (90-(A-18deg))

Tan 2A= Tan (90-A+18deg)

Tan 2A= Tan(108 deg - A)

2A=108-A

3A=108

A=108/3

A=36 degree