document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=924637>Question 924637</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Simplify the trigonometric expression. Once you have simplified the expression completely, change all trigonometric functions in the simplified expression to sines and cosines. Finally, let s = sin &#952; and c = cos &#952; and enter your answer below. For example, if the expression simplifies to tan &#952;, you would enter s/c in the answer blank.\r<BR>\n" );
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document.write( "csc(&#952;) + cos(-&#952;)cot(-&#952;) = </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #561010 by </B><A HREF=/tutors/aboutme.mpl?userid=josgarithmetic><B>josgarithmetic(39620)</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=561010\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the definitions and go from that.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsin%28t%29%2Bcos%28-t%29%28cos%28-t%29%2Fsin%28-t%29%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%28t%29%2Bcos%28-t%29%28cos%28-t%29%2Fsin%28-t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Deal with the negative signs in the functions first.<BR>\n" );
document.write( "Refer to the Unit Circle for visual help.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fsin%28t%29%2Bcos%28t%29%28cos%28t%29%2F%28-sin%28t%29%29%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%28t%29%2Bcos%28t%29%28cos%28t%29%2F%28-sin%28t%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=1%2Fsin%28t%29-cos%5E2%28t%29%2Fsin%28t%29 ALIGN=MIDDLE  ALT=\"1%2Fsin%28t%29-cos%5E2%28t%29%2Fsin%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, notice common denominators.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281-cos%5E2%28t%29%29%2Fsin%28t%29 ALIGN=MIDDLE  ALT=\"%281-cos%5E2%28t%29%29%2Fsin%28t%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, justification here for the basic Pythagorean Thm. Identity\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28t%29%2Fsin%28t%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28t%29%2Fsin%28t%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%28sin%28t%29%29 ALIGN=MIDDLE  ALT=\"highlight%28sin%28t%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "The other described substitutions are not really needed; but they COULD be used when you finally have all function inputs as the positive t, which I chose to use instead of \" t h e t a \".   (We would need to spell it with all five letters to make the rendering work.) </SPAN>\n" );
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