document.write( "Question 951602: If sin 6A = cos 9A, then the measure of angle A is equal to
\n" ); document.write( "1) 6
\n" ); document.write( "2) 54
\n" ); document.write( "3) 36
\n" ); document.write( "4) 1(1/2) \n" ); document.write( "
Algebra.Com's Answer #581151 by Theo(13342)\"\" \"About 
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if one of the angles of the acute angles of a right triangle is equal to 6a and the other acute angle of the triangle is equal to 9a, then the sum of both acute angles must be equal to 90 degrees.
\n" ); document.write( "you get:
\n" ); document.write( "6a + 9a = 90
\n" ); document.write( "solve for a to get a = 6
\n" ); document.write( "6a = 36
\n" ); document.write( "9a = 54
\n" ); document.write( "sin(36) = .5877852523
\n" ); document.write( "cos(54) = .5877852523
\n" ); document.write( "they're the same.
\n" ); document.write( "this stands to reason because:
\n" ); document.write( "if 6a + 9a = 90, then 9a = 90 - 6a.
\n" ); document.write( "by the properties of a right triangle:
\n" ); document.write( "sin(6a) = cos(90 - 6a)
\n" ); document.write( "since 90 - 6a = 9a, this means that sin(6a) = cos(9a).\r
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