Question

if tan 2A= cot (A-18) degree where 2A is an acute angle then find the value of A

Answer 1

Answer:

Step-by-step explanation:

Tan 2A = cot(90 - 2A)

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

90 - 2A = A - 18

-2A - A = - 18 - 90

-3A = -108

A = 36

Answer 2

 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°

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