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)![]() ![]() You can put this solution on YOUR website! sin 2y = cos4 y for y, where 0 degrees = y or < y < 360 degrees \n" ); document.write( "------------- \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 \n" ); document.write( "--------------- \n" ); document.write( "sin(2y) = 1 \n" ); document.write( "2y = 90, 450 \n" ); document.write( "y = 45, 225 \n" ); document.write( "-------------- \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 \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |