If sec 4A = cosec (A – 10º) and 4A is acute then A = ?
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sec 4A = cosec (A – 10º) ⇒ cosec (90º – 4A) = cosec (A – 10º)
⇒ 90º – 4A = A – 10º ⇒ 5A = 100º ⇒ A = 20º.