document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=286551>Question 286551</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the reference of 5pi divided by 4? I cannot seem to figure it out.<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 #207837 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=207837\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%3C5pi%2F4%3C3pi%2F2 ALIGN=MIDDLE  ALT=\"pi%3C5pi%2F4%3C3pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >, this means that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5pi%2F4 ALIGN=MIDDLE  ALT=\"5pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > is in the 3rd quadrant. If you draw out the angle along with its associated triangle, you'll see that the reference angle is the angle that is closest to the origin. Since <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 the closest known angle, and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5pi%2F4%3Epi ALIGN=MIDDLE  ALT=\"5pi%2F4%3Epi\"   DISABLED_style= \"max-width:90%; height:auto;\" >, we know that we have to subtract <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > from this angle to find the reference angle.\r<BR>\n" );
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document.write( "So <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5pi%2F4-pi=5pi%2F4-4pi%2F4=%285pi-4pi%29%2F4=pi%2F4 ALIGN=MIDDLE  ALT=\"5pi%2F4-pi=5pi%2F4-4pi%2F4=%285pi-4pi%29%2F4=pi%2F4\"   DISABLED_style= \"max-width:90%; height:auto;\" > which means that the reference angle is <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;\" > </SPAN>\n" );
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