document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689854>Question 689854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To whom it may concern,<BR>\n" );
document.write( "what is the relationship between cotangent theta and cotangent NEGATIVE theta? Can you please give me 7 or 10 examples to work with. I really need to learn this immediately for an upcoming exam. Please reply ASAP. A thousand thank yous won't be enough.                                                <BR>\n" );
document.write( "                                                            -Lex<BR>\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426291 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=426291\">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=cot%28theta%29=-cot%28-theta%29 ALIGN=MIDDLE  ALT=\"cot%28theta%29=-cot%28-theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > because<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28theta%29=cos%28theta%29%2Fsin%28theta%29 ALIGN=MIDDLE  ALT=\"cot%28theta%29=cos%28theta%29%2Fsin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-theta%29=cos%28-theta%29%2Fsin%28-theta%29 ALIGN=MIDDLE  ALT=\"cot%28-theta%29=cos%28-theta%29%2Fsin%28-theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and,<BR>\n" );
document.write( "as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29=-sin%28-theta%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29=-sin%28-theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29=cos%28-theta%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29=cos%28-theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, then<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28theta%29=cos%28theta%29%2Fsin%28theta%29=cos%28-theta%29%2F%28-sin%28-theta%29%29=-cos%28-theta%29%2Fsin%28-theta%29=-cot%28-theta%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=drawing%28300%2C300%2C-10%2C10%2C-10%2C10%2C%0D%0Acircle%280%2C0%2C7%29%2Cline%28-6.36%2C-6.36%2C6.36%2C6.36%29%2C%0D%0Aline%28-7.79%2C-4.5%2C7.79%2C4.5%29%2Cline%28-9%2C0%2C0%2C0%29%2C%0D%0Aarrow%280%2C0%2C9.5%2C0%29%2Clocate%289.6%2C0.5%2Cx%29%2C%0D%0Aline%28-4.5%2C7.79%2C4.5%2C-7.79%29%2Cline%280%2C-9%2C0%2C0%29%2C%0D%0Aarrow%280%2C0%2C0%2C9.5%29%2Clocate%28-0.6%2C11%2Cy%29%2C%0D%0Aline%28-4.5%2C-7.79%2C4.5%2C7.79%29%2Cline%28-6.36%2C6.36%2C6.36%2C-6.36%29%2C%0D%0Aline%28-7.79%2C4.5%2C7.79%2C-4.5%29%2C%0D%0Alocate%287.1%2C0%2C1%29%2Clocate%287.1%2C1%2CA%29%2C%0D%0Alocate%280.1%2C7%2C1%29%2Clocate%280%2C7.9%2CE%29%2Clocate%280.1%2C-7.1%2C%22E%27%22%29%2C%0D%0Alocate%286.3%2C3.7%2CB%29%2Clocate%286.3%2C-2.7%2C%22B%27%22%29%2C%0D%0Alocate%285.2%2C5.4%2CC%29%2Clocate%285.2%2C-4.4%2C%22C%27%22%29%2C%0D%0Alocate%283.2%2C7%2CD%29%2Clocate%283.2%2C-6.2%2C%22D%27%22%29%2C%0D%0Alocate%281.5%2C0%2CO%29%2Clocate%28-8.5%2C0%2C-1%29%2Clocate%28-7.5%2C1%2CI%29%2C%0D%0Alocate%28-3.6%2C7%2CF%29%2Clocate%28-3.6%2C-6.2%2C%22F%27%22%29%2C%0D%0Ablue%28line%286.06%2C-3.5%2C6.06%2C3.5%29%29%2Cblue%28rectangle%286.06%2C0%2C5.66%2C0.4%29%29%2C%0D%0Alocate%285.3%2C-0.1%2CP%29%0D%0A%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" > Angles measuring <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%5Eo ALIGN=MIDDLE  ALT=\"30%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > (AOB), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%5Eo ALIGN=MIDDLE  ALT=\"45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > (AOC), <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%5Eo ALIGN=MIDDLE  ALT=\"60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > (AOD), ... are represented.<BR>\n" );
document.write( " <BR>\n" );
document.write( "For the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=30%5Eo ALIGN=MIDDLE  ALT=\"30%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F6 ALIGN=MIDDLE  ALT=\"pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle AOB:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28AOB%29=1%2F2=PB ALIGN=MIDDLE  ALT=\"sin%28AOB%29=1%2F2=PB\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28AOB%29=sqrt%283%29%2F2=OP ALIGN=MIDDLE  ALT=\"cos%28AOB%29=sqrt%283%29%2F2=OP\"   DISABLED_style= \"max-width:90%; height:auto;\" > are the x and y coordinates of point B<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28AOB%29=sqrt%283%29 ALIGN=MIDDLE  ALT=\"cot%28AOB%29=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The reflection of angle AOB is the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-30%5Eo ALIGN=MIDDLE  ALT=\"-30%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-pi%2F6 ALIGN=MIDDLE  ALT=\"-pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle AOB':<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-30%5Eo%29=-1%2F2 ALIGN=MIDDLE  ALT=\"sin%28-30%5Eo%29=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28-30%5Eo%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"cos%28-30%5Eo%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-30%5Eo%29=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"cot%28-30%5Eo%29=-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "For the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=45%5Eo ALIGN=MIDDLE  ALT=\"45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle AOC and its reflection, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-45%5Eo ALIGN=MIDDLE  ALT=\"-45%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle AOC':<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2845%5Eo%29=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sin%2845%5Eo%29=sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2845%5Eo%29=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"cos%2845%5Eo%29=sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-45%5Eo%29=-sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sin%28-45%5Eo%29=-sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28-45%5Eo%29=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"cos%28-45%5Eo%29=sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%2845%5Eo%29=1 ALIGN=MIDDLE  ALT=\"cot%2845%5Eo%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-45%5Eo%29=-1 ALIGN=MIDDLE  ALT=\"cot%28-45%5Eo%29=-1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "For the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=60%5Eo ALIGN=MIDDLE  ALT=\"60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle AOD and its reflection, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-60%5Eo ALIGN=MIDDLE  ALT=\"-60%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle AOD':<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2860%5Eo%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%2860%5Eo%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2860%5Eo%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%2860%5Eo%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-60%5Eo%29=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sin%28-60%5Eo%29=sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28-60%5Eo%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%28-60%5Eo%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%2860%5Eo%29=1%2Fsqrt%283%29=sqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"cot%2860%5Eo%29=1%2Fsqrt%283%29=sqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-60%5Eo%29=-1%2Fsqrt%283%29=-sqrt%283%29%2F3 ALIGN=MIDDLE  ALT=\"cot%28-60%5Eo%29=-1%2Fsqrt%283%29=-sqrt%283%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( " <BR>\n" );
document.write( "For the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle AOE and its reflection, the <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-90%5Eo ALIGN=MIDDLE  ALT=\"-90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > angle AOE':<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%2890%5Eo%29=1 ALIGN=MIDDLE  ALT=\"sin%2890%5Eo%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%2890%5Eo%29=0 ALIGN=MIDDLE  ALT=\"cos%2890%5Eo%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-90%5Eo%29=1 ALIGN=MIDDLE  ALT=\"sin%28-90%5Eo%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28-90%5Eo%29=0 ALIGN=MIDDLE  ALT=\"cos%28-90%5Eo%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%2890%5Eo%29=0 ALIGN=MIDDLE  ALT=\"cot%2890%5Eo%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28-90%5Eo%29=0 ALIGN=MIDDLE  ALT=\"cot%28-90%5Eo%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );