document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1136237>Question 1136237</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Prove that<BR>\n" );
document.write( "tanA/(1 - cotA) + cotA/(1 - tanA) = (secAcosecA + 1) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #754069 by </B><A HREF=/tutors/aboutme.mpl?userid=MathLover1><B>MathLover1(20850)</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=754069\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <BR>\n" );
document.write( "here is other way, you might like it better\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28A%29%2F%281+-+cot%28A%29%29+%2B+cot%28A%29%2F%281+-+tan%28A%29%29 ALIGN=MIDDLE  ALT=\"tan%28A%29%2F%281+-+cot%28A%29%29+%2B+cot%28A%29%2F%281+-+tan%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28A%29%2Fcos%28A%29%29%2F%281+-+cos%28A%29%2Fsin%28A%29%29+%2B+%28cos%28A%29%2Fsin%28A%29%29%2F%281+-+sin%28A%29%2Fcos%28A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28A%29%2Fcos%28A%29%29%2F%281+-+cos%28A%29%2Fsin%28A%29%29+%2B+%28cos%28A%29%2Fsin%28A%29%29%2F%281+-+sin%28A%29%2Fcos%28A%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sin%28A%29%2Fcos%28A%29%29%2F%28%28sin%28A%29+-+cos%28A%29%29%2Fsin%28A%29%29%29%2B+%28%28cos%28A%29%2Fsin%28A%29%29%2F%28%28cos%28A%29+-+sin%28A%29%29%2Fcos%28A%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28A%29%2F%28cos%28A%29%28sin%28A%29+-+cos%28A%29%29%29%2B+cos%5E2%28A%29%2F%28sin%28A%29%28cos%28A%29+-+sin%28A%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "to have same denominators you can write <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29%28cos%28A%29+-+sin%28A%29%29 ALIGN=MIDDLE  ALT=\"sin%28A%29%28cos%28A%29+-+sin%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > as <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sin%28A%29%28sin%28A%29+-+cos%28A%29%29%29 ALIGN=MIDDLE  ALT=\"-sin%28A%29%28sin%28A%29+-+cos%28A%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28A%29%2F%28cos%28A%29%28sin%28A%29+-+cos%28A%29%29%29-+cos%5E2%28A%29%2F%28sin%28A%29%28sin%28A%29+-+cos%28A%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28A%29sin%28A%29+-+cos%5E2%28A%29cos%28A%29%29%2F%28sin%28A%29cos%28A%29%28sin%28A%29+-+cos%28A%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E3%28A%29+-+cos%5E3%28A%29%29%2F%28sin%28A%29cos%28A%29%28sin%28A%29+-+cos%28A%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "use factoring cube difference rule in numerator\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28%28sin%28A%29+-+cos%28A%29%29%28sin%5E2%28A%29%2B2sin%28A%29cos%28A%29%2Bcos%5E2%28A%29%29%29%2F%28sin%28A%29cos%28A%29%28sin%28A%29+-+cos%28A%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >...........simplify\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cross%28%28sin%28A%29+-+cos%28A%29%29%29%28sin%5E2%28A%29%2B2sin%28A%29cos%28A%29%2Bcos%5E2%28A%29%29%29%2F%28sin%28A%29cos%28A%29cross%28%28sin%28A%29+-+cos%28A%29%29%29%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28A%29%2B2sin%28A%29cos%28A%29%2Bcos%5E2%28A%29%29%2F%28sin%28A%29cos%28A%29%29 ALIGN=MIDDLE  ALT=\"%28sin%5E2%28A%29%2B2sin%28A%29cos%28A%29%2Bcos%5E2%28A%29%29%2F%28sin%28A%29cos%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28A%29%2Bcos%5E2%28A%29=1 ALIGN=MIDDLE  ALT=\"sin%5E2%28A%29%2Bcos%5E2%28A%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2B2sin%28A%29cos%28A%29%29%2F%28sin%28A%29cos%28A%29%29 ALIGN=MIDDLE  ALT=\"%281%2B2sin%28A%29cos%28A%29%29%2F%28sin%28A%29cos%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28sin%28A%29cos%28A%29%29%2B%282sin%28A%29cos%28A%29%29%2F%28sin%28A%29cos%28A%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28sin%28A%29cos%28A%29%29%2B%282sin%28A%29cos%28A%29%29%2F%28sin%28A%29cos%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28sin%28A%29cos%28A%29%29%2B2 ALIGN=MIDDLE  ALT=\"1%2F%28sin%28A%29cos%28A%29%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >......use sec and csc to express sin and cos\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28sin%28A%29cos%28A%29%29%2B2 ALIGN=MIDDLE  ALT=\"1%2F%28sin%28A%29cos%28A%29%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >.....<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28A%29=1%2Fcsc%28A%29 ALIGN=MIDDLE  ALT=\"sin%28A%29=1%2Fcsc%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29=1%2Fsec%28A%29 ALIGN=MIDDLE  ALT=\"cos%28A%29=1%2Fsec%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%281%2Fcsc%28A%29%29%281%2Fsec%28A%29%29%29%2B2 ALIGN=MIDDLE  ALT=\"1%2F%28%281%2Fcsc%28A%29%29%281%2Fsec%28A%29%29%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%281%2Fcsc%28A%29sec%28A%29%29%2B2 ALIGN=MIDDLE  ALT=\"1%2F%281%2Fcsc%28A%29sec%28A%29%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28A%29sec%28A%29%2B2 ALIGN=MIDDLE  ALT=\"csc%28A%29sec%28A%29%2B2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );