document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1143230>Question 1143230</A>: <I><SPAN STYLE=\"word-break: break-all;\"> evaluate sqrt((4+4cos2x/1-cos2x)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #764073 by </B><A HREF=/tutors/aboutme.mpl?userid=4419875><B>4419875(21)</B></A><img src=\"/images/stars/stars-07.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=4419875><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=764073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Remember that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28x%29%2Bcos%5E2%28x%29=1 ALIGN=MIDDLE  ALT=\"sin%5E2%28x%29%2Bcos%5E2%28x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos2x+=+cos%5E2%28x%29-sin%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cos2x+=+cos%5E2%28x%29-sin%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Now before substituting any value, factor out first the numerator:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%281%2Bcos2x%29%2F%281-cos2x%29%29 ALIGN=MIDDLE  ALT=\"sqrt%284%281%2Bcos2x%29%2F%281-cos2x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Then, now we take the square root of 4 and substitute the equivalent functions:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%28sin%5E2%28x%29%2Bcos%5E2%28x%29%2Bcos%5E2%28x%29-sin%5E2%28x%29%29%2F%28sin%5E2%28x%29%2Bcos%5E2%28x%29-%28cos%5E2%28x%29-sin%5E2%28x%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Solve the expression:<BR>\n" );
document.write( "1. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%28cos%5E2%28x%29%2Bcos%5E2%28x%29%29%29%2F%28sin%5E2%28x%29%2Bcos%5E2%28x%29-cos%5E2%28x%29%2Bsin%5E2%28x%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2.<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284%282cos%5E2%28x%29%29%29%2F%282sin%5E2%28x%29%29%29 ALIGN=MIDDLE  ALT=\"sqrt%284%282cos%5E2%28x%29%29%29%2F%282sin%5E2%28x%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "3. Now cancel out 2 and you may find the equivalent in the form of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%5E2%28x%29 ALIGN=MIDDLE  ALT=\"cot%5E2%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "4. Lastly get the sqrt of the expression <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%284+cot%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"sqrt%284+cot%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "ANSWER: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2+cot%28x%29 ALIGN=MIDDLE  ALT=\"2+cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );