document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1090355>Question 1090355</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If sinx + cosx = 3/4  find sinx - cosx </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #704786 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=704786\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If sinx + cosx = 3/4  <BR>\n" );
document.write( "sin^2 + 2sin*cos + cos^2 = 9/16<BR>\n" );
document.write( "1 + sin(2x) = 9/16<BR>\n" );
document.write( "sin(2x) = -7/16<BR>\n" );
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document.write( "find sinx - cosx<BR>\n" );
document.write( "(sin - cos)^2 = sin^2 - sin(2x) + cos^2 = 1 - sin(2x)<BR>\n" );
document.write( "= 1 - (-7/16) = 23/16<BR>\n" );
document.write( "sin - cos = sqrt(23)/4<BR>\n" );
document.write( "or -sqrt(23)/4<BR>\n" );
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document.write( "Clever? </SPAN>\n" );
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