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

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

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tan 2A = cot (A – 18°) 

cot (90 – 2A) = cot (A – 18) 

90 – 2A = A – 18 

3A = 108° 

∴ A = 36°

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