document.write( "Question 277867: Could you please show me the steps to solve sin 2 y = cos 4 y for y, where 0 degrees = y or < y < 360 degrees. I'm constantly messing up big time somewhere hopefully steps will help. \n" ); document.write( "
Algebra.Com's Answer #202279 by Alan3354(69443)\"\" \"About 
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sin 2y = cos4 y for y, where 0 degrees = y or < y < 360 degrees
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\n" ); document.write( "sin(2y) = cos^2(2y) - sin^2(2y)
\n" ); document.write( "sin(2y) = 1-sin^2(2y) - sin^2(2y) = 1 - 2sin^2(2y)
\n" ); document.write( "2sin^2(2y) + sin(2y) - 1 = 0 a quadratic in sin(2y)
\n" ); document.write( "(2sin + 1)*(sin - 1) = 0
\n" ); document.write( "sin(2y) = -1/2
\n" ); document.write( "sin(2y) = 1
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\n" ); document.write( "sin(2y) = 1
\n" ); document.write( "2y = 90, 450
\n" ); document.write( "y = 45, 225
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\n" ); document.write( "sin(2y) = -1/2
\n" ); document.write( "2y = 210, 330, 570, 690
\n" ); document.write( "y = 105, 165, 285, 345
\n" ); document.write( "All y values in degrees\r
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