Foundation
Mathematics Foundation
Introduction to Trigonometry
Question

If sec 4A = cosec (A – 10º) and 4A is acute then A = ?

40º

20º

50º

30º

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Solution

sec 4A = cosec (A – 10º) ⇒ cosec (90º – 4A) = cosec (A – 10º)

⇒ 90º – 4A = A – 10º ⇒ 5A = 100º ⇒ A = 20º.