document.write( "Question 1161776: 2sec^2 x-5 sec x+2=0\r
\n" ); document.write( "\n" ); document.write( "cos 2x-2 sinx- cos^2 x=-3
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Algebra.Com's Answer #785380 by greenestamps(13200)\"\" \"About 
You can put this solution on YOUR website!


\n" ); document.write( "\"2sec%28x%29%5E2-5sec%28x%29%2B2+=+0\"

\n" ); document.write( "Factor like a quadratic, treating \"sec(x)\" as the variable.

\n" ); document.write( "\"%282sec%28x%29-1%29%28sec%28x%29-2%29+=+0\"
\n" ); document.write( "\"sec%28x%29+=+1%2F2%29\" OR \"sec%28x%29+=+2\"

\n" ); document.write( "Take reciprocals to change sec(x) to cos(x).

\n" ); document.write( "\"cos%28x%29+=+2\" OR \"cos%28x%29+=+1%2F2\"

\n" ); document.write( "You can finish from there....

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\n" ); document.write( "\"cos%282x%29-2sin%28x%29-cos%28x%29%5E2+=+-3\"

\n" ); document.write( "Substitute for cos(2x); use \"cos%28x%29%5E2-sin%28x%29%5E2\", since the cosines will cancel, leaving a quadratic in sin(x).

\n" ); document.write( "\"%28cos%28x%29%5E2-sin%28x%29%5E2%29-2sin%28x%29-cos%28x%29%5E2+=+-3\"
\n" ); document.write( "\"-sin%28x%29%5E2-2sin%28x%29+=+-3\"
\n" ); document.write( "\"sin%28x%29%5E2%2B2sin%28x%29-3+=+0\"
\n" ); document.write( "\"%28sin%28x%29%2B3%29%28sin%28x%29-1%29+=+0\"
\n" ); document.write( "\"sin%28x%29+=+-3\" OR \"sin%28x%29+=+1\"

\n" ); document.write( "Again you can finish....

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