document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1025818>Question 1025818</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if tanx+sinx=m and tanx-sinx=n <BR>\n" );
document.write( "then prove that m^2-n^2=4(mn)^1/2\r<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #641960 by </B><A HREF=/tutors/aboutme.mpl?userid=robertb><B>robertb(5830)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=robertb><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/cgi-bin/show-face.mpl?user=robertb><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=641960\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tanx+=+%28m%2Bn%29%2F2 ALIGN=MIDDLE  ALT=\"tanx+=+%28m%2Bn%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinx+=+%28m-n%29%2F2 ALIGN=MIDDLE  ALT=\"sinx+=+%28m-n%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tanx%2Asinx+=+%28m%5E2+-+n%5E2%29%2F4 ALIGN=MIDDLE  ALT=\"tanx%2Asinx+=+%28m%5E2+-+n%5E2%29%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > ==> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4tanx%2Asinx+=+%28m%5E2+-+n%5E2%29+=+%284sin%5E2%28x%29%29%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"4tanx%2Asinx+=+%28m%5E2+-+n%5E2%29+=+%284sin%5E2%28x%29%29%2Fcos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > \r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%28sin%5E4%28x%29%2Fcos%5E2%28x%29%29+=+4sqrt%28%28sin%5E2%28x%29%2Asin%5E2%28x%29%29%2Fcos%5E2%28x%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%28%28sin%5E2%28x%29%2A%281-cos%5E2%28x%29%29%29%2Fcos%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"4sqrt%28%28sin%5E2%28x%29%2A%281-cos%5E2%28x%29%29%29%2Fcos%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%28sin%5E2%28x%29%2Fcos%5E2%28x%29-sin%5E2%28x%29%29+=+4sqrt%28tan%5E2%28x%29-sin%5E2%28x%29%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sqrt%28%28tanx%2Bsinx%29%28tanx-sinx%29%29+=+4sqrt%28mn%29 ALIGN=MIDDLE  ALT=\"4sqrt%28%28tanx%2Bsinx%29%28tanx-sinx%29%29+=+4sqrt%28mn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Therefore <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=m%5E2+-+n%5E2=4sqrt%28mn%29 ALIGN=MIDDLE  ALT=\"m%5E2+-+n%5E2=4sqrt%28mn%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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