document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1140548>Question 1140548</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Show that (cosec^4x-1)/(cot^2x)=2+cot^2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #761102 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20849)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=MathLover1><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=MathLover1><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=761102\">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=%28csc%5E4%28x%29-1%29%2F%28cot%5E2%28x%29%29=2%2Bcot%5E2%28x%29+ ALIGN=MIDDLE  ALT=\"%28csc%5E4%28x%29-1%29%2F%28cot%5E2%28x%29%29=2%2Bcot%5E2%28x%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( "manipulating left side\r<BR>\n" );
document.write( "\n" );
document.write( " =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28csc%5E4%28x%29-1%29%2F%28cot%5E2%28x%29%29 ALIGN=MIDDLE  ALT=\"%28csc%5E4%28x%29-1%29%2F%28cot%5E2%28x%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......use identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%5E2%28x%29=+csc%5E2%28x%29-1 ALIGN=MIDDLE  ALT=\"cot%5E2%28x%29=+csc%5E2%28x%29-1\"   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=%28csc%5E4%28x%29-1%29%2F%28csc%5E2%28x%29-1%29 ALIGN=MIDDLE  ALT=\"%28csc%5E4%28x%29-1%29%2F%28csc%5E2%28x%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.......factor numerator : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28csc%5E4%28x%29-1%29=+%28%28csc%5E2%28x%29%29%5E2-1%29=+%28csc%5E2%28x%29-1%29+%28csc%5E2%28x%29%2B1%29 ALIGN=MIDDLE   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=%28+%28csc%5E2%28x%29-1%29+%28csc%5E2%28x%29%2B1%29%29%2F%28csc%5E2%28x%29-1%29 ALIGN=MIDDLE  ALT=\"%28+%28csc%5E2%28x%29-1%29+%28csc%5E2%28x%29%2B1%29%29%2F%28csc%5E2%28x%29-1%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >......simplify\r<BR>\n" );
document.write( "\n" );
document.write( " =<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28+cross%28%28csc%5E2%28x%29-1%29%29+%28csc%5E2%28x%29%2B1%29%29%2F%28cross%28csc%5E2%28x%29-1%29%29 ALIGN=MIDDLE   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=csc%5E2%28x%29%2B1 ALIGN=MIDDLE  ALT=\"csc%5E2%28x%29%2B1\"   DISABLED_style= \"max-width:90%; height:auto;\" >................use the following identity : <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc+%5E2+%28x+%29=1%2B+cot+%5E2+%28x+%29 ALIGN=MIDDLE  ALT=\"csc+%5E2+%28x+%29=1%2B+cot+%5E2+%28x+%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=1%2B+cot+%5E2+%28x+%29%2B1 ALIGN=MIDDLE  ALT=\"1%2B+cot+%5E2+%28x+%29%2B1\"   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=2%2B+cot+%5E2+%28x+%29 ALIGN=MIDDLE  ALT=\"2%2B+cot+%5E2+%28x+%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );