document.write( "Question 1034393: For 3x² + 2xy + y² = 1, find Θ, the angle of rotation about the origin, to the nearest degree. \n" ); document.write( "
Algebra.Com's Answer #649030 by robertb(5830)\"\" \"About 
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If you're asking for the angle of rotation of axes \"theta\" that would eliminate the xy term from the conic \"Ax%5E2+%2BBxy+%2BCy%5E2+%2B+Dx+%2B+Ey+%2BF+=+0\" is \r
\n" ); document.write( "\n" ); document.write( "\"cot%282%2Atheta%29+=+%28A+-+C%29%2FB\".\r
\n" ); document.write( "\n" ); document.write( "==> \"cot%282%2Atheta%29+=+%28A+-+C%29%2FB+=+%283-1%29%2F2+=+1\".\r
\n" ); document.write( "\n" ); document.write( "==> \"tan%282%2Atheta%29+=+1\" ==> \"2%2Atheta+=+45%5Eo\" ==> \"highlight%28theta+=+22.5%5Eo%29\".\r
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