If tan 2A = cot (A — 12°), where 2A is an acute angle, find the value of A.

We are given that: tan 2A = cot (A – 12°)

We can rewrite it as: cot (90° - 2A) = cot (A – 12°)


On comparing both sides, we get,


90° - 2A = A – 12 °


A + 2A = 90° + 12°


3A = 102°


A = 34°


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