document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=39170>Question 39170</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Cot a-1/1-Tan a = Csc a/Sec a </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #24661 by </B><A HREF=/tutors/aboutme.mpl?userid=longjonsilver><B>longjonsilver(2297)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=longjonsilver><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=longjonsilver><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=24661\">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=+%28cotA-1%29%2F%281-tanA%29+ ALIGN=MIDDLE  ALT=\"+%28cotA-1%29%2F%281-tanA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "lets just manipulate the numerator first: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cotA-1%29+ ALIGN=MIDDLE  ALT=\"+%28cotA-1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28cosA%29%2F%28sinA%29%29-1+ ALIGN=MIDDLE  ALT=\"+%28%28cosA%29%2F%28sinA%29%29-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28cosA%29%2F%28sinA%29%29-%28%28sinA%29%2F%28sinA%29%29+ ALIGN=MIDDLE  ALT=\"+%28%28cosA%29%2F%28sinA%29%29-%28%28sinA%29%2F%28sinA%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28cosA%29-%28sinA%29%29%2F%28sinA%29+ ALIGN=MIDDLE  ALT=\"+%28%28cosA%29-%28sinA%29%29%2F%28sinA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "and now the denominator: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281-tanA%29+ ALIGN=MIDDLE  ALT=\"+%281-tanA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+1-%28%28sinA%29%2F%28cosA%29%29+ ALIGN=MIDDLE  ALT=\"+1-%28%28sinA%29%2F%28cosA%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28cosA%29%2F%28cosA%29%29-%28%28sinA%29%2F%28cosA%29%29+ ALIGN=MIDDLE  ALT=\"+%28%28cosA%29%2F%28cosA%29%29-%28%28sinA%29%2F%28cosA%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28%28cosA%29-%28sinA%29%29%2F%28cosA%29+ ALIGN=MIDDLE  ALT=\"+%28%28cosA%29-%28sinA%29%29%2F%28cosA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So we have: <BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+%28%28cosA%29-%28sinA%29%29%2F%28sinA%29+%29+%2F+%28+%28%28cosA%29-%28sinA%29%29%2F%28cosA%29+%29+ ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "which is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+%28%28cosA%29-%28sinA%29%29%2F%28sinA%29+%29+%2A+%28+%28cosA%29%2F%28%28cosA%29-%28sinA%29%29+%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=+%28cosA%29%2F%28sinA%29+ ALIGN=MIDDLE  ALT=\"+%28cosA%29%2F%28sinA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "So the question now is, does <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cosA%29%2F%28sinA%29+ ALIGN=MIDDLE  ALT=\"+%28cosA%29%2F%28sinA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > equal <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cosecA%29%2F%28secA%29+ ALIGN=MIDDLE  ALT=\"+%28cosecA%29%2F%28secA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >?\r<BR>\n" );
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document.write( "Well, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cosecA%29%2F%28secA%29+ ALIGN=MIDDLE  ALT=\"+%28cosecA%29%2F%28secA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F%28sinA%29%29%2F%281%2F%28cosA%29%29+ ALIGN=MIDDLE  ALT=\"+%281%2F%28sinA%29%29%2F%281%2F%28cosA%29%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "which can be rearranged into:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%281%2F%28sinA%29%29%28%28cosA%29%2F1%29+ ALIGN=MIDDLE  ALT=\"+%281%2F%28sinA%29%29%28%28cosA%29%2F1%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28cosA%29%2F%28sinA%29+ ALIGN=MIDDLE  ALT=\"+%28cosA%29%2F%28sinA%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "so yes.\r<BR>\n" );
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document.write( "jon.<BR>\n" );
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