document.write( "Question 770143: Solution for cos4x=cos2x
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Algebra.Com's Answer #469322 by Alan3354(69443)![]() ![]() You can put this solution on YOUR website! Solution for cos4x=cos2x \n" ); document.write( "------------ \n" ); document.write( "cos(2A) = 2cos^2(A) - 1 double angle formula \n" ); document.write( "--- \n" ); document.write( "cos4x=cos2x \n" ); document.write( "2cos^2(2x) - 1 = cos(2x) \n" ); document.write( "2cos^2(2x) - cos(2x) - 1 = 0 \n" ); document.write( "(2cos + 1)*(cos - 1) = 0 \n" ); document.write( "cos(2x) = 1 \n" ); document.write( "2x = 0 + 2n*pi, n = 0,1,2,3... \n" ); document.write( "x = 0 + n*pi, n = 0,1,2,3... \n" ); document.write( "----------- \n" ); document.write( "cos(2x) = -1/2 \n" ); document.write( "2x = 2pi/3, 4pi/3 + 2n*pi, n = 0,1,2,3... \n" ); document.write( "x = pi/3, 2pi/3 + n*pi, n = 0,1,2,3... \n" ); document.write( " \n" ); document.write( " |