If sin4A = cos(A - 30), where 4A and (A - 30) are acute angles, then the value of A is ___.

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Solution

Given, sin4A = cos(A - 30)

cos(90 - 4A) = cos(A - 30)

Taking inverse on both sides we get,

90 - 4A = A - 30

5A = 120

A = 24°

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