document.write( "Question 294541: prove the identity sec^2(x)=1/(1-sin^2(x)) \n" ); document.write( "
Algebra.Com's Answer #214587 by chibisan(131)\"\" \"About 
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sec^2(x)=1/(1-sin^2(x))\r
\n" ); document.write( "\n" ); document.write( "on R.H.S
\n" ); document.write( "1-sin^2(x) = cos^2(x)
\n" ); document.write( "and 1/cos(x) = sec(x)\r
\n" ); document.write( "\n" ); document.write( "so,
\n" ); document.write( "1/(cos^2(x))
\n" ); document.write( "= (1/cos(x))(1/cos(x))
\n" ); document.write( "= sec^2(x)(proven)
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