document.write( "Question 1082640: Solve the equation for 0≤x≤2pi. Write your answer as a multiple of pi, if possible.\r
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\n" ); document.write( "\n" ); document.write( "(tan^2)x = $\"%28-3%2F2%29\"$ secx\r
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Algebra.Com's Answer #696815 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
(tan^2)x = $\"%28-3%2F2%29\"$ secx
\n" ); document.write( "----
\n" ); document.write( " $\"tan%5E2%28x%29+=+-3sec%28x%29%2F2%29\"$
\n" ); document.write( "Multiply thru by cos(x)
\n" ); document.write( "tan*sin = -3/2
\n" ); document.write( "sin^2/cos = -3/2
\n" ); document.write( "sin^2 = -3cos/2
\n" ); document.write( "1-cos^2 = -3cos/2
\n" ); document.write( "2 - 2cos^2 = -3cos
\n" ); document.write( "2cos^2 - 3cos - 2 = 0
\n" ); document.write( "(2cos + 1)*(cos - 2) = 0
\n" ); document.write( "------
\n" ); document.write( "cos = 2 --> no real number solution
\n" ); document.write( "---
\n" ); document.write( "2cos + 1 = 0
\n" ); document.write( "cos = -1/2
\n" ); document.write( "etc\r
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