document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1000033>Question 1000033</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am trying to find the value of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sec+%28+11+pi+%2F+4+%29+ ALIGN=MIDDLE  ALT=\"+sec+%28+11+pi+%2F+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > without using a calculator.\r<BR>\n" );
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document.write( "To start, I know that the equation to find sec &#952; = ( 1 / cos ).\r<BR>\n" );
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document.write( "I figure that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+11+pi+%2F+4+%29+ ALIGN=MIDDLE  ALT=\"+%28+11+pi+%2F+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is equivalent to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+3+pi+%2F+4+%29+ ALIGN=MIDDLE  ALT=\"+%28+3+pi+%2F+4+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > on the unit circle. Which means that the cosine is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+%28+sqrt+%28+2+%29+%2F+2+%29+ ALIGN=MIDDLE  ALT=\"+-+%28+sqrt+%28+2+%29+%2F+2+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "I end up with 1 / <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+%28+sqrt+%28+2+%29+%2F+2+%29+%29+ ALIGN=MIDDLE  ALT=\"+-+%28+sqrt+%28+2+%29+%2F+2+%29+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > but am not sure what the next step would be.\r<BR>\n" );
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document.write( "Do I just leave it at that? Or is there something else I do to further find the value? I'm not sure if I need to answer in degrees or radians. All my problem asks me to do is: \"Find the following value without using a calculator.\"\r<BR>\n" );
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document.write( "I hope that made sense...I tried using the formula plotting but couldn't quite get it to completely format.<BR>\n" );
document.write( "Thank you so much, in advance!! You guys are always so helpful!<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #617531 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=617531\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I would do these simplifications\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-sqrt%282%29%2F2%29=%281%2F1%29%2F%28-sqrt%282%29%2F2%29 ALIGN=MIDDLE  ALT=\"1%2F%28-sqrt%282%29%2F2%29=%281%2F1%29%2F%28-sqrt%282%29%2F2%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-sqrt%282%29%2F2%29=%281%2F1%29%2A%28-2%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28-sqrt%282%29%2F2%29=%281%2F1%29%2A%28-2%2Fsqrt%282%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%28-sqrt%282%29%2F2%29=-2%2Fsqrt%282%29 ALIGN=MIDDLE  ALT=\"1%2F%28-sqrt%282%29%2F2%29=-2%2Fsqrt%282%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-sqrt%282%29%2F2%29=%28-2%2Fsqrt%282%29%29%2A%28sqrt%282%29%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28-sqrt%282%29%2F2%29=%28-2%2Fsqrt%282%29%29%2A%28sqrt%282%29%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the fraction by <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28sqrt%282%29%2Fsqrt%282%29%29 ALIGN=MIDDLE  ALT=\"%28sqrt%282%29%2Fsqrt%282%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to rationalize the denominator\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28-sqrt%282%29%2F2%29=-2%2Asqrt%282%29%2F%28sqrt%282%29%2Asqrt%282%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28-sqrt%282%29%2F2%29=-2%2Asqrt%282%29%2F%28sqrt%282%29%2Asqrt%282%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%28-sqrt%282%29%2F2%29=-2%2Asqrt%282%29%2F%282%29 ALIGN=MIDDLE  ALT=\"1%2F%28-sqrt%282%29%2F2%29=-2%2Asqrt%282%29%2F%282%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-sqrt%282%29%2F2%29=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"1%2F%28-sqrt%282%29%2F2%29=-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "-------------------------------------------------------\r<BR>\n" );
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document.write( "So in the end, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec+%28+11+pi+%2F+4+%29=-sqrt%282%29 ALIGN=MIDDLE  ALT=\"sec+%28+11+pi+%2F+4+%29=-sqrt%282%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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