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If sec 2A = cosec(A - 42°), where 2A is an acute angle, find the value of A.

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sec 2A = cosec(A - 42°)

⇒ cosec (90°- 2A) = cosec(A - 42°)

⇒  90°- 2A = A - 42°

⇒ 3A = 132°

⇒ A = \(\frac{132°}{3} = 44°\)

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