document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=635145>Question 635145</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how can i find the exact value of pie/8? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #400122 by </B><A HREF=/tutors/aboutme.mpl?userid=jsmallt9><B>jsmallt9(3758)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jsmallt9><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=400122\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Short answer: You can't. <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > is an irrational number. Neither it nor it divided by a whole number like 8 can ever be expressed exactly (other than with <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F8 ALIGN=MIDDLE  ALT=\"pi%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >.<br><BR>\n" );
document.write( "But I think you left out part of the problem. I think you are supposed to find<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28pi%2F8%29 ALIGN=MIDDLE  ALT=\"sin%28pi%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28pi%2F8%29 ALIGN=MIDDLE  ALT=\"cos%28pi%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or ...<BR>\n" );
document.write( "which can be found exactly. (Hint: Use a \"Half-Angle\" formula.)<br><BR>\n" );
document.write( "If my hint is not enough help for you to figure it out, please re-post the full problem.<br><BR>\n" );
document.write( "P.S. If you are really sure that you posted the full, correct problem, then the problem is bad. To make sense the problem <b>must</b> ask you to find one or more of...<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28pi%2F8%29 ALIGN=MIDDLE  ALT=\"sin%28pi%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28pi%2F8%29 ALIGN=MIDDLE  ALT=\"cos%28pi%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > or ...<BR>\n" );
document.write( "Are you sure it doesn't say to find all the trig function values for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F8 ALIGN=MIDDLE  ALT=\"pi%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" >?<br><BR>\n" );
document.write( "Once you know which function(s) you are supposed to find, then you have the right idea with the Half-angle formulas.<br><BR>\n" );
document.write( "You solution for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28pi%2F8%29 ALIGN=MIDDLE  ALT=\"tan%28pi%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > has an error:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28pi%2F8%29+=+sin%28pi%2F4%29%2F%281%2Bcos%28pi%2F4%29%29+=+%28sqrt%282%29%2F2%29%2F%281%2Bsqrt%282%29%2F2%29+=+%28%28sqrt%282%29%2F2%29%2F%281%2Bsqrt%282%29%2F2%29%29%282%2F2%29+=+sqrt%282%29%2F%282%2Bsqrt%282%29%29+=+%28sqrt%282%29%2F%282%2Bsqrt%282%29%29%29%2A%28%282-sqrt%282%29%29%2F%282-sqrt%282%29%29%29+=+%282sqrt%282%29+-+2%29%2F%284-2%29+=+%282%28sqrt%282%29-1%29%29%2F2+=+%28cross%282%29%28sqrt%282%29-1%29%29%2Fcross%282%29+=+sqrt%282%29-1 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(Note: It is not necessary to change <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F8 ALIGN=MIDDLE  ALT=\"pi%2F8\"   DISABLED_style= \"max-width:90%; height:auto;\" > and/or <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;\" > into degrees to do these problems.) </SPAN>\n" );
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