If sin 5A =cos 4A find A if 5A and 4A are acute angle

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Solution

According to the question : sin a = cos(90-a). sin 5a= cos 4a. so, sin 5a = cos ( 90 - 4a) 5a = ( 90 - 4a ) 5a + 4a = 90 9a = 90 . so, a = 10

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