Question

If tan 2a = cot (a - 18â°), where 2a is an acute angle, find the value of a.

Answer 1

Answer:

Given tan 2a = cot (a - 18 )

To find = a

Step-by-step explanation:

We know that tan theta = cot (90 - theta)

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

=> 90 - 2a = a - 18

=> a = 36

Answer 2

Hello frd ,

Your Solution:-

It is given that tan2A=cot(A−18°)

 ⇒tan2A=cot(90° −(108° −A))

⇒tan2A=tan(108° −A)        

{°•° cot(90° −A)=tan(A)}

 ⇒2A=108° −A

 ⇒3A=108°

 ⇒A=108°/3 =36°

Thanks☺