document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=976140>Question 976140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> 1/cosA+sinA+1   +    1/cosA+sinA-1    is equal to     cosecA+secA    how to prove it. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #597800 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39625)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><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=597800\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Start with the more complicated expression and simplify.  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2FcosA%2BsinA%2B1%2B1%2FcosA%2BsinA-1 ALIGN=MIDDLE  ALT=\"1%2FcosA%2BsinA%2B1%2B1%2FcosA%2BsinA-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "You have obvious other simplifications to do first.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcos%28A%29%2Bsin%28A%29%2Bsin%28A%29%2B1%2Fcos%28A%29%2B1-1 ALIGN=MIDDLE  ALT=\"1%2Fcos%28A%29%2Bsin%28A%29%2Bsin%28A%29%2B1%2Fcos%28A%29%2B1-1\"   DISABLED_style= \"max-width:90%; height:auto;\" >, based on Commutative Property for Addition\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fcos%28A%29%2B2sin%28A%29%2B0 ALIGN=MIDDLE  ALT=\"2%2Fcos%28A%29%2B2sin%28A%29%2B0\"   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=2%2Fcos%28A%29%2B2sin%28A%29 ALIGN=MIDDLE  ALT=\"2%2Fcos%28A%29%2B2sin%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Simplest common denominator is cos(A).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Fcos%28A%29%2B%282sin%28A%29%2Acos%28A%29%29%2Fcos%28A%29 ALIGN=MIDDLE  ALT=\"2%2Fcos%28A%29%2B%282sin%28A%29%2Acos%28A%29%29%2Fcos%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=highlight_green%28%282%2B2sin%28A%29cos%28A%29%29%2Fcos%28A%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%282%2B2sin%28A%29cos%28A%29%29%2Fcos%28A%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This appears not to be same as cosec(A)+sec(A).\r<BR>\n" );
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document.write( "Try starting with the other expression instead.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=csc%28A%29%2Bsec%28A%29 ALIGN=MIDDLE  ALT=\"csc%28A%29%2Bsec%28A%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%2Fsin%28A%29%2B1%2Fcos%28A%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%28A%29%2B1%2Fcos%28A%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%29%2F%28sin%28A%29cos%28A%29%29%2Bsin%28A%29%2F%28sin%28A%29cos%28A%29%29 ALIGN=MIDDLE  ALT=\"cos%28A%29%2F%28sin%28A%29cos%28A%29%29%2Bsin%28A%29%2F%28sin%28A%29cos%28A%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=highlight_green%28%28cos%28A%29%2Bsin%28A%29%29%2F%28sin%28A%29cos%28A%29%29%29 ALIGN=MIDDLE  ALT=\"highlight_green%28%28cos%28A%29%2Bsin%28A%29%29%2F%28sin%28A%29cos%28A%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Much work done so far, but the identity is not proved, and it is likely not an identity. </SPAN>\n" );
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