Question

if tan2A=Cos(A-18), where 2A is an acute angle, find the value of A

Answer 1

Hope that clears your doubt regarding the question

Answer 2

Answer:

The value of A=36

Step-by-step explanation:

Given : If $\tan 2A=\cot (A-18)$ , where 2A is an acute angle.

To find : The value of A?

Solution :

We know, Two angles are said to be Complementary , if their sum is equal

to 90°.

So,

$\cot(90 - x) = \tan x$

According to the problem given,

$\tan 2A=\cot (A-18)$

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

$90 - 2A=A-18$

$3A=108$

$A=36$  

The value of A=36.