Question

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If tan2A = cot(A – 18°) where 2A is an acute angle. Find the value of A.

Answer 1

Tan 2A = cot(A – 18°)

According to identify ( Tan Theta = Cot (90- Theta)

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

90-2A = A-18

-2A-A = -18-90

-3A = -108

A= 108/3

A= 36°

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Answer 2

Answer:

Step-by-step explanation:

tan2A=cot(A-18)

cot(90-2A)=cot(A-18)   {  tanQ=cot(90-Q)}

90-2A=A-18

90+18=A+2A

108=3A

108/3=A

36=A

or A=36