document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=919009>Question 919009</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Calculate the exact answer. No decimals.<BR>\n" );
document.write( "tan((14pi)/3) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #557390 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=557390\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+%28+14%2Api+%29%2F3+%29+ ALIGN=MIDDLE  ALT=\"+tan%28+%28+14%2Api+%29%2F3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "---------------------<BR>\n" );
document.write( "You can step through this:<BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+6%2Api%29+%2F3+=+2%2Api+ ALIGN=MIDDLE  ALT=\"+%28+6%2Api%29+%2F3+=+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is a full 180 degree circle<BR>\n" );
document.write( "bringing you back to 0 degrees<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+12%2Api+%29+%2F+3++=+4%2Api+ ALIGN=MIDDLE  ALT=\"+%28+12%2Api+%29+%2F+3++=+4%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is 2 full<BR>\n" );
document.write( "circles which again brings you back to<BR>\n" );
document.write( "0 degrees<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+14%2Api+%29%2F3+-+%28+12%2Api+%29%2F3+=+%28+2%2Api+%29%2F3+ ALIGN=MIDDLE  ALT=\"+%28+14%2Api+%29%2F3+-+%28+12%2Api+%29%2F3+=+%28+2%2Api+%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, that makes the problem:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+%28+2%2Api+%29%2F3+%29+ ALIGN=MIDDLE  ALT=\"+tan%28+%28+2%2Api+%29%2F3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "This is more than <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F2+ ALIGN=MIDDLE  ALT=\"+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >, so the angle is in<BR>\n" );
document.write( "the 2nd quadrant where the tan is negative (+)/(-)<BR>\n" );
document.write( "---------------------------------------------<BR>\n" );
document.write( "The angle made with the horizontal is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F3+ ALIGN=MIDDLE  ALT=\"+pi%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" >,<BR>\n" );
document.write( "which is 60 degrees, so I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+%28+14%2Api+%29%2F3+%29+=+-+sqrt%283%29%2F1+ ALIGN=MIDDLE  ALT=\"+tan%28+%28+14%2Api+%29%2F3+%29+=+-+sqrt%283%29%2F1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28+%28+14%2Api+%29%2F3+%29+=+-+sqrt%283%29+ ALIGN=MIDDLE  ALT=\"+tan%28+%28+14%2Api+%29%2F3+%29+=+-+sqrt%283%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "Always do a drawing -it helps\r<BR>\n" );
document.write( "\n" );
document.write( " <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );