document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=570225>Question 570225</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi. can you help me solve: simplify this expression: (1+cosx)/(sinx) + (sinx)(1+cosx) <BR>\n" );
document.write( "thanks  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #367645 by </B><A HREF=/tutors/aboutme.mpl?userid=htmentor><B>htmentor(1343)</B></A><img src=\"/images/stars/stars-12.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=htmentor><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=htmentor><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=367645\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> simplify this expression: (1+cosx)/(sinx) + (sinx)(1+cosx) <BR>\n" );
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document.write( "Using the common denominator sin(x)(1+cos(x) we can write the expression as<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Bcosx%29%2F%28sinx%29+%2B+%28sinx%29%2F%281%2Bcosx%29+=+%28+%281%2Bcos%28x%29%29%5E2+%2B+sin%5E2%28x%29%29%2F%28sin%28x%29%2A%281%2Bcos%28x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Expand:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281+%2B+2%2Acos%28x%29+%2B+cos%5E2%28x%29+%2B+sin%5E2%28x%29%29%2F%28sin%28x%29%2A%281%2Bcos%28x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29+%2B+cos%5E2%28x%29+=+1 ALIGN=MIDDLE  ALT=\"sin%5E2%28x%29+%2B+cos%5E2%28x%29+=+1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this simplifies to<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%282%2A%281%2Bcos%28x%29%29%29%2F%28sin%28x%29%2A%281%2Bcos%28x%29%29%29+=+2%2Fsin%28x%29 ALIGN=MIDDLE  ALT=\"%282%2A%281%2Bcos%28x%29%29%29%2F%28sin%28x%29%2A%281%2Bcos%28x%29%29%29+=+2%2Fsin%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );