document.write( "Question 139317: cot x -tan x = 2 \n" ); document.write( "
Algebra.Com's Answer #101580 by edjones(8007)\"\" \"About 
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cot x -tan x = 2
\n" ); document.write( "1/tan(x) - tan(x)=2
\n" ); document.write( "1-tan^2(x)=2tan(x) multiply each side by tan(x) to eliminate fractions.
\n" ); document.write( "tan^2(x)+2tan(x)-1=0
\n" ); document.write( "tan^2(x)+2tan(x) =1
\n" ); document.write( "tan^2(x)+2tan(x)+1=1+1 completing the square
\n" ); document.write( "(tan(x)+1)^2=2
\n" ); document.write( "tan(x)+1=+-sqrt(2)
\n" ); document.write( "tan(x)=-1+sqrt(2), tan(x)=-1-sqrt(2)
\n" ); document.write( "x=-67.5 deg, x=22.5 deg
\n" ); document.write( ".
\n" ); document.write( "Ed \n" ); document.write( "
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