document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=180774>Question 180774</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value of sec(17&#1083;/12). PLEASE HELP ME!!!!! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #135494 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=135494\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28%2817pi%29%2F12%29 ALIGN=MIDDLE  ALT=\"sec%28%2817pi%29%2F12%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Start with the given trig expression.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28cos%28%2817pi%29%2F12%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28cos%28%2817pi%29%2F12%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28A%29=1%2Fcos%28A%29 ALIGN=MIDDLE  ALT=\"sec%28A%29=1%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=1%2F%28cos%28%287pi%29%2F6%2Bpi%2F4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28cos%28%287pi%29%2F6%2Bpi%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Expand. Note: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%2817pi%29%2F12=%287pi%29%2F6%2Bpi%2F4 ALIGN=MIDDLE  ALT=\"%2817pi%29%2F12=%287pi%29%2F6%2Bpi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > (convert to degrees if that makes it easier to see)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28cos%28%287pi%29%2F6%29cos%28pi%2F4%29-sin%28%287pi%29%2F6%29sin%28pi%2F4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28cos%28%287pi%29%2F6%29cos%28pi%2F4%29-sin%28%287pi%29%2F6%29sin%28pi%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Use the identity <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28A%2BB%29=cos%28A%29cos%28B%29-sin%28A%29sin%28B%29 ALIGN=MIDDLE  ALT=\"cos%28A%2BB%29=cos%28A%29cos%28B%29-sin%28A%29sin%28B%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > to expand\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-sqrt%283%29%2F2%29cos%28pi%2F4%29-sin%28%287pi%29%2F6%29sin%28pi%2F4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-sqrt%283%29%2F2%29cos%28pi%2F4%29-sin%28%287pi%29%2F6%29sin%28pi%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the cosine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287pi%29%2F6 ALIGN=MIDDLE  ALT=\"%287pi%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"-sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (use the unit circle)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29-sin%28%287pi%29%2F6%29sin%28pi%2F4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29-sin%28%287pi%29%2F6%29sin%28pi%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the cosine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (use the unit circle)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29-%28-1%2F2%29sin%28pi%2F4%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29-%28-1%2F2%29sin%28pi%2F4%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%287pi%29%2F6 ALIGN=MIDDLE  ALT=\"%287pi%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (use the unit circle)\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29-%28-1%2F2%29%28sqrt%282%29%2F2%29%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-sqrt%283%29%2F2%29%28sqrt%282%29%2F2%29-%28-1%2F2%29%28sqrt%282%29%2F2%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Evaluate the sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F4 ALIGN=MIDDLE  ALT=\"pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > (use the unit circle)\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%286%29%2F4%2Bsqrt%282%29%2F4%29 ALIGN=MIDDLE  ALT=\"1%2F%28-sqrt%286%29%2F4%2Bsqrt%282%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28-sqrt%286%29%2Bsqrt%282%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28-sqrt%286%29%2Bsqrt%282%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Combine the fractions.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F%28%28sqrt%282%29-sqrt%286%29%29%2F4%29 ALIGN=MIDDLE  ALT=\"1%2F%28%28sqrt%282%29-sqrt%286%29%29%2F4%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Rearrange the terms.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%281%2F1%29%284%2F%28sqrt%282%29-sqrt%286%29%29%29 ALIGN=MIDDLE  ALT=\"%281%2F1%29%284%2F%28sqrt%282%29-sqrt%286%29%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply the first fraction (which is really <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1%2F1 ALIGN=MIDDLE  ALT=\"1%2F1\"   DISABLED_style= \"max-width:90%; height:auto;\" >) by the reciprocal of the second fraction\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4%2F%28sqrt%282%29-sqrt%286%29%29 ALIGN=MIDDLE  ALT=\"4%2F%28sqrt%282%29-sqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > Multiply\r<BR>\n" );
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document.write( "Answer:\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sec%28%2817pi%29%2F12%29=4%2F%28sqrt%282%29-sqrt%286%29%29 ALIGN=MIDDLE  ALT=\"sec%28%2817pi%29%2F12%29=4%2F%28sqrt%282%29-sqrt%286%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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