document.write( "Question 769871: Establish the Identity:\r
\n" ); document.write( "\n" ); document.write( "(secθ-tanθ)^2+1 / secθcscθ-tanθcscθ =2tanθ
\n" ); document.write( "

Algebra.Com's Answer #469094 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
Establish the Identity:
\n" ); document.write( "(secθ-tanθ)^2+1 / secθcscθ-tanθcscθ =2tanθ
\n" ); document.write( "start with left-hand side
\n" ); document.write( "(sec^2-2sectan+tan^2+1)/(seccsc-tancsc)
\n" ); document.write( "tan^2+1=sec^2
\n" ); document.write( "(sec^2-2sectan+sec^2)/(csc(sec-tan))
\n" ); document.write( "(2sec^2-2sectan)/(csc(sec-tan))
\n" ); document.write( "2sec(sec-tan)/(csc(sec-tan))
\n" ); document.write( "2sec/csc=2(1/cos)/(1/sin)=2sin/cos=2tan
\n" ); document.write( "verified:
\n" ); document.write( "left-hand side =right-hand side\r
\n" ); document.write( "\n" ); document.write( "
\n" ); document.write( "
\n" );