document.write( "Question 409578: I need to establish the identity, and show and prove how:
\n" ); document.write( "(1+sin theta)/(1-sin theta)-(1-sin theta)/(1+sin theta)= 4 tan theta sec theta\r
\n" ); document.write( "\n" ); document.write( "I need the step by step breakdown of how we got the answer on the left side to equal the answer on the right side. \r
\n" ); document.write( "\n" ); document.write( "Thank you,
\n" ); document.write( "Chris B. \n" ); document.write( "
Algebra.Com's Answer #288279 by lwsshak3(11628)\"\" \"About 
You can put this solution on YOUR website!
(1+sin theta)/(1-sin theta)-(1-sin theta)/(1+sin theta)= 4 tan theta sec theta \r
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\n" ); document.write( "\n" ); document.write( "(1+sin)/(1-sin)-(1-sin)/(1+sin)=4tan sec\r
\n" ); document.write( "\n" ); document.write( "starting with left-hand side,\r
\n" ); document.write( "\n" ); document.write( "[(1+sin)^2-(1-sin)^2]/(1+sin)(1-sin)
\n" ); document.write( "=[1+2sin+sin^2-(1-2sin+sin^2)]/1-sin^2
\n" ); document.write( "=[1+2sin+sin^2-1+2sin-sin^2)]/1-sin^2
\n" ); document.write( "=4sin/cos^2
\n" ); document.write( "=(4sin/cos)(1/cos)
\n" ); document.write( "=4tan sec
\n" ); document.write( "ans:
\n" ); document.write( "Left-hand side=Right-hand side\r
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