document.write( "Question 410609: how to verify the identity of problem\r
\n" ); document.write( "\n" ); document.write( "tan^2(x)-sin^2(x)=sin^4(x)sec^2(x)
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Algebra.Com's Answer #288888 by lwsshak3(11628)\"\" \"About 
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how to verify the identity of problem
\n" ); document.write( "tan^2(x)-sin^2(x)=sin^4(x)sec^2(x)
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\n" ); document.write( "\n" ); document.write( "tan^2(x)-sin^2(x)=sin^4(x)sec^2(x)
\n" ); document.write( "starting with the right-hand side,
\n" ); document.write( "sin^4(x)sec^2(x)
\n" ); document.write( "=(sin^2)(sin^2)(1/cos^2)
\n" ); document.write( "=(sin^2/cos^2)*sin^2
\n" ); document.write( "=tan^2*sin^2
\n" ); document.write( "=tan^2*(1-cos^2)
\n" ); document.write( "=tan^2-tan^2*cos^2
\n" ); document.write( "=tan^2-(sin^2/cos^2)*cos^2
\n" ); document.write( "=tan^2-sin^2
\n" ); document.write( "verified: right-hand side=left-hand side
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