document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=602535>Question 602535</A>: <I><SPAN STYLE=\"word-break: break-all;\"> ((cos x)/(1-(sin x/cos x)))+((sin x)/(1-(cos x/sin x)))= sin x+ cos x<BR>\n" );
document.write( "How do you verify this identity? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #380314 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=380314\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cos(x)/(1 - sin(x)/cos(x))+sin(x)/(1 - cos(x)/sin(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x))+sin(x)/(1 - cot(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x))+sin(x)/(1 - 1/tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x))+sin(x)/(tan(x)/tan(x) - 1/tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x))+sin(x)/( (tan(x)-1)/tan(x) ) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x))+sin(x)*( tan(x)/(tan(x)-1) ) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x))+(sin(x)*tan(x))/( tan(x)-1) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x))+(sin(x)*tan(x))/( -(-tan(x)+1) ) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x))+(sin(x)*tan(x))/( -(1 - tan(x)) ) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x)/(1 - tan(x)) - (sin(x)*tan(x))/(1 - tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "(cos(x) - sin(x)*tan(x))/(1 - tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "(cos(x) - sin(x)*(sin(x)/cos(x)))/(1 - tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "(cos(x) - sin^2(x)/cos(x))/(1 - tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "(cos^2(x)/cos(x) - sin^2(x)/cos(x))/(1 - tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "((cos^2(x) - sin^2(x))/cos(x))/(1 - tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "((cos^2(x) - sin^2(x))/cos(x))*(1/(1 - tan(x))) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "(cos^2(x) - sin^2(x))/(cos(x)(1 - tan(x))) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "(cos^2(x) - sin^2(x))/(cos(x) - cos*tan(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "(cos^2(x) - sin^2(x))/(cos(x) - cos(x)*sin(x)/cos(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "(cos^2(x) - sin^2(x))/(cos(x) - sin(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "((cos(x) - sin(x))(cos(x) + sin(x)))/(cos(x) - sin(x)) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "cos(x) + sin(x) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "sin(x) + cos(x) = sin(x) + cos(x)\r<BR>\n" );
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document.write( "This verifies the identity. </SPAN>\n" );
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