document.write( "Question 549742: Prove that
\n" ); document.write( " sin A +cos A-1/sin A -cos A + 1=1/sec A + tan A \n" ); document.write( "
Algebra.Com's Answer #358070 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Prove that
\n" ); document.write( " sin A +cos A-1/sin A -cos A + 1=1/sec A + tan A
\n" ); document.write( "------------
\n" ); document.write( " sin A +cos A-1/sin A -cos A + 1= cos A + (sin A/cos A)
\n" ); document.write( "sin + cos -1/sin - cos + 1= cos + (sin/cos) (All the angles are A)
\n" ); document.write( "sin -1/sin + 1= cos + (sin/cos)
\n" ); document.write( "Multiply thru by sin*cos
\n" ); document.write( "sin^2cos - cos = sincos^2 + sin^2
\n" ); document.write( "sin^2cos - sin^2 - cos = sincos^2
\n" ); document.write( "sin^2*(cos - 1) - cos = sin*cos^2
\n" ); document.write( "----------------
\n" ); document.write( "this is not recognizable.
\n" ); document.write( "Use A = 45 degs
\n" ); document.write( "(1/2)*(sqrt(2)/2 - 1) - sqrt(2)/2 = (1/2)*sqrt(2)/2
\n" ); document.write( "sqrt(2)/4 - 1/2 = sqrt(2)/4
\n" ); document.write( "Not true.
\n" ); document.write( " \n" ); document.write( "
\n" );