document.write( "Question 618842: how to prove 1/1-sintheta+1/1+sintheta=2sec^2theta \n" ); document.write( "
Algebra.Com's Answer #389154 by lwsshak3(11628)\"\" \"About 
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prove 1/1-sintheta+1/1+sintheta=2sec^2theta
\n" ); document.write( "1/(1-sin)+1/(1+sin)=2sec
\n" ); document.write( "start with left side
\n" ); document.write( "LCD: (1-sin)(1+sin)=1-sin^2
\n" ); document.write( "=(1+sin+1-sin/1-sin^2
\n" ); document.write( "=2/(1-sin^2)
\n" ); document.write( "=2/cos^2
\n" ); document.write( "=2sec^2
\n" ); document.write( "verified:
\n" ); document.write( "left side=right side\r
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