document.write( "Question 433747: prove the idenity true
\n" ); document.write( "sec^4x-(tan^4x+sec^2x)=sec^2x*sin^2x
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Algebra.Com's Answer #301926 by lwsshak3(11628)\"\" \"About 
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prove the idenity true
\n" ); document.write( "sec^4x-(tan^4x+sec^2x)=sec^2x*sin^2x
\n" ); document.write( "starting with left side
\n" ); document.write( "sec^4x-(tan^4x+sec^2x)
\n" ); document.write( "1/cos^4-sin^4/cos^4-1/cos^2
\n" ); document.write( "LCD:cos^4
\n" ); document.write( "(1-sin^4-cos^2)/cos^4
\n" ); document.write( "(sin^2-sin^4)/cos^4
\n" ); document.write( "sin^2(1-sin^2)/cos^4
\n" ); document.write( "sin^2*cos^2/cos^4
\n" ); document.write( "sin^2/cos^2
\n" ); document.write( "sin^2*sec^2
\n" ); document.write( "left side=right side
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