document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=996938>Question 996938</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Perform each indicated operation and simplify the result\r<BR>\n" );
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document.write( "cot &#977; + 1/cot &#977;\r<BR>\n" );
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document.write( "Answer: csc &#977; sec &#977; or 1/sin &#977; cos &#977;\r<BR>\n" );
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document.write( "how do u find those answers? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #615205 by </B><A HREF=/tutors/aboutme.mpl?userid=ikleyn><B>ikleyn(52786)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=ikleyn><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=ikleyn><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=615205\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> .<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cot%28theta%29 ALIGN=MIDDLE  ALT=\"cot%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2Fcot%28theta%29 ALIGN=MIDDLE  ALT=\"1%2Fcot%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28theta%29%29%2Fsin%28theta%29 ALIGN=MIDDLE  ALT=\"%28cos%28theta%29%29%2Fsin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28cos%28theta%29%29%2F%28sin%28theta%29%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28cos%28theta%29%29%2F%28sin%28theta%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28cos%28theta%29%29%2Fsin%28theta%29 ALIGN=MIDDLE  ALT=\"%28cos%28theta%29%29%2Fsin%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%28theta%29%29%2F%28cos%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28sin%28theta%29%29%2F%28cos%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = &nbsp;&nbsp;&nbsp;&nbsp;(write it with the common denominator which is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28theta%29%2Acos%28theta%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29%2Acos%28theta%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=%28cos%5E2%28theta%29%29%2F%28sin%28theta%29%2Acos%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28cos%5E2%28theta%29%29%2F%28sin%28theta%29%2Acos%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > + <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28theta%29%29%2F%28sin%28theta%29%2Acos%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28sin%5E2%28theta%29%29%2F%28sin%28theta%29%2Acos%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sin%5E2%28theta%29+%2B+cos%5E2%28theta%29%29%2F%28sin%28theta%29%2Acos%28theta%29%29 ALIGN=MIDDLE  ALT=\"%28sin%5E2%28theta%29+%2B+cos%5E2%28theta%29%29%2F%28sin%28theta%29%2Acos%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = &nbsp;&nbsp;&nbsp;&nbsp;(now recall that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28theta%29+%2B+cos%5E2%28theta%29 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29+%2B+cos%5E2%28theta%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > = <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1 ALIGN=MIDDLE  ALT=\"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=1%2F%28sin%28theta%29%2Acos%28theta%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28sin%28theta%29%2Acos%28theta%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "It is what has to be proved.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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