document.write( "Question 472338: please help me solve dis question:- secѲ-1=(√2-1)tanѲ?? \n" ); document.write( "

Algebra.Com's Answer #323867 by Alan3354(69443) $\"\"$ $\"About$

You can put this solution on YOUR website!
$\"-sec%28t%29+-+1+=+%28sqrt%282%29+-+1%29%2Atan%28t%29\"$
\n" ); document.write( "Multiply by cos(t)
\n" ); document.write( " $\"-1+-+cos%28t%29+=+%28sqrt%282%29+-+1%29%2Asin%28t%29\"$
\n" ); document.write( " $\"cos%28t%29+%2B+1+=+%281+-+sqrt%282%29%29%2Asin%28t%29\"$
\n" ); document.write( " $\"sqrt%281+-+sin%5E2%28t%29%29+%2B+1+=+%281+-+sqrt%282%29%29%2Asin%28t%29\"$
\n" ); document.write( "Sub x for sin(t)
\n" ); document.write( " $\"sqrt%281+-+x%5E2%29+%2B+1+=+%281+-+sqrt%282%29%29%2Ax\"$
\n" ); document.write( " $\"sqrt%281+-+x%5E2%29+=+-1+%2B+%281+-+sqrt%282%29%29%2Ax\"$
\n" ); document.write( " $\"sqrt%281+-+x%5E2%29+=+-1+%2B+x+-+sqrt%282%29%2Ax\"$
\n" ); document.write( "Square both sides
\n" ); document.write( " $\"1+-+x%5E2+=+1+%2B+x%5E2+%2B+2x%5E2+%2B+2sqrt%282%29%2Ax+-+2sqrt%282%29%2Ax%5E2\"$
\n" ); document.write( " $\"0+=+x%5E2%2A%284+-+sqrt%288%29%29+%2B+2sqrt%282%29%2Ax\"$
\n" ); document.write( "------------------
\n" ); document.write( "x = 0, not allowed since sec(0) is undefined
\n" ); document.write( "-------------------
\n" ); document.write( " $\"0+=+x%2A%284+-+sqrt%288%29%29+%2B+2sqrt%282%29\"$
\n" ); document.write( "---------------
\n" ); document.write( "x = 0 again --> no solution
\n" ); document.write( "-------------
\n" ); document.write( "Many chances for errors, I'll check it again later.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( " \n" ); document.write( "

\n" );