document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=983144>Question 983144</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Sinx-cosx+1/sinx+cosx-1  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #603958 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39618)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=603958\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You might really mean this:  (Sin(x)-cos(x)+1)/(sin(x)+cos(x)-1)<BR>\n" );
document.write( "when the correct grouping parentheses are used.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight_green%28%28Sin%28x%29-cos%28x%29%2B1%29%2F%28sin%28x%29%2Bcos%28x%29-1%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28Sin%28x%29-cos%28x%29%2B1%29%2F%28sin%28x%29%2Bcos%28x%29-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28Sin%28x%29-cos%28x%29%2B1%29%2F%28sin%28x%29%2Bcos%28x%29-1%29 ALIGN=MIDDLE  ALT=\"%28Sin%28x%29-cos%28x%29%2B1%29%2F%28sin%28x%29%2Bcos%28x%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28x%29-%28cos%28x%29-1%29%29%2F%28sin%28x%29%2B%28cos%28x%29-1%29%29 ALIGN=MIDDLE  ALT=\"%28sin%28x%29-%28cos%28x%29-1%29%29%2F%28sin%28x%29%2B%28cos%28x%29-1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "This trick will let you take advantage of resulting difference of squares:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sin%28x%29-%28cos%28x%29-1%29%29%2F%28sin%28x%29%2B%28cos%28x%29-1%29%29%29%28%28sin%28x%29-%28cos%28x%29-1%29%2F%28sin%28x%29-%28cos%28x%29-1%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Difficulty managing the text and symbols, but the attempt is multiply expression by the factor <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28x%29-%28cos%28x%29-1%29%29%2F%28sin%28x%29-%28cos%28x%29-1%29%29=1 ALIGN=MIDDLE  ALT=\"%28sin%28x%29-%28cos%28x%29-1%29%29%2F%28sin%28x%29-%28cos%28x%29-1%29%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "Continuing,...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28x%29-2%2Asin%28x%29%28cos%28x%29-1%29%2B%28cos%28x%29-1%29%5E2%29%2F%28sin%5E2%28x%29-%28cos%28x%29-1%29%5E2%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28x%29-2sin%28x%29cos%28x%29%2B2sin%28x%29%2Bcos%5E2%28x%29-2cos%28x%29%2B1%29%2F%28sin%5E2%28x%29-%28cos%5E2%28x%29-2cos%28x%29%2B1%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28x%29-2sin%28x%29cos%28x%29%2Bcos%5E2%28x%29%2B1%29%2F%28sin%5E2%28x%29-cos%5E2%28x%29%2B2cos%28x%29-1%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "skipping a step,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-2sin%28x%29cos%28x%29%2B1%29%2F%281-cos%5E2%28x%29-cos%5E2%28x%29%2B2cos%28x%29-1%29 ALIGN=MIDDLE  ALT=\"%281-2sin%28x%29cos%28x%29%2B1%29%2F%281-cos%5E2%28x%29-cos%5E2%28x%29%2B2cos%28x%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28-2sin%28x%29cos%28x%29%29%2F%28-2cos%5E2%28x%29%2B2cos%28x%29%29 ALIGN=MIDDLE  ALT=\"%28-2sin%28x%29cos%28x%29%29%2F%28-2cos%5E2%28x%29%2B2cos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28x%29cos%28x%29%29%2F%28cos%5E2%28x%29%2Bcos%28x%29%29 ALIGN=MIDDLE  ALT=\"%28sin%28x%29cos%28x%29%29%2F%28cos%5E2%28x%29%2Bcos%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "and then cancel <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1=cos%28x%29%2Fcos%28x%29 ALIGN=MIDDLE  ALT=\"1=cos%28x%29%2Fcos%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=highlight%28sin%28x%29%2F%28cos%28x%29%2B1%29%29 ALIGN=MIDDLE  ALT=\"highlight%28sin%28x%29%2F%28cos%28x%29%2B1%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and you might be able to do a little more with this.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );