document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=169978>Question 169978</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 22. verify the identity  csc(-x)/sec(-x)=-cot x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #125441 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=125441\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Note: I'm ONLY manipulating the left side. I'm showing the right side for comparison\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28-x%29%2Fsec%28-x%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"csc%28-x%29%2Fsec%28-x%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given equation\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fsin%28-x%29%29%2F%281%2Fcos%28-x%29%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"%281%2Fsin%28-x%29%29%2F%281%2Fcos%28-x%29%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identities <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28A%29=1%2Fsin%28A%29 ALIGN=MIDDLE  ALT=\"csc%28A%29=1%2Fsin%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28A%29=1%2Fcos%28A%29 ALIGN=MIDDLE  ALT=\"sec%28A%29=1%2Fcos%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get the left side in terms of sine and cosine\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2Fsin%28-x%29%29%2A%28cos%28-x%29%2F1%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"%281%2Fsin%28-x%29%29%2A%28cos%28-x%29%2F1%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction by the reciprocal of the second fraction.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28-x%29%2Fsin%28-x%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"cos%28-x%29%2Fsin%28-x%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine and multiply the fractions.\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29%2Fsin%28-x%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"cos%28x%29%2Fsin%28-x%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28-A%29=cos%28A%29 ALIGN=MIDDLE  ALT=\"cos%28-A%29=cos%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%29%2F%28-sin%28x%29%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"cos%28x%29%2F%28-sin%28x%29%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28-A%29=-sin%28A%29 ALIGN=MIDDLE  ALT=\"sin%28-A%29=-sin%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-cos%28x%29%2Fsin%28x%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"-cos%28x%29%2Fsin%28x%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Reduce\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-cot%28x%29=-cot%28x%29 ALIGN=MIDDLE  ALT=\"-cot%28x%29=-cot%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29%2Fsin%28A%29=cot%28A%29 ALIGN=MIDDLE  ALT=\"cos%28A%29%2Fsin%28A%29=cot%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );