document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=860585>Question 860585</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the radian measure of the smallest positive angle that is co terminal with angle having the given measure. please help me<BR>\n" );
document.write( "1.) 7pi/2<BR>\n" );
document.write( "2.) -7pi/3 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #518516 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=518516\">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=+%28+7%2Api+%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28+7%2Api+%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You know that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+4%2Api+%29%2F2+=+2%2Api+ ALIGN=MIDDLE  ALT=\"+%28+4%2Api+%29%2F2+=+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "is a full circle and brings you back<BR>\n" );
document.write( "to the zero angle<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "Knowing also that<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+7%2Api+%29%2F2+=+%28+3%2Api+%29%2F2+%2B+%28+4%2Api+%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28+7%2Api+%29%2F2+=+%28+3%2Api+%29%2F2+%2B+%28+4%2Api+%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+7%2Api+%29%2F2+=+%28+3%2Api+%29%2F2+%2B+2%2Api+ ALIGN=MIDDLE  ALT=\"+%28+7%2Api+%29%2F2+=+%28+3%2Api+%29%2F2+%2B+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+7%2Api+%29+%2F+2+=+%28+3%2Api+%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28+7%2Api+%29+%2F+2+=+%28+3%2Api+%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+3%2Api+%29%2F2+ ALIGN=MIDDLE  ALT=\"+%28+3%2Api+%29%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > is the smallest positive <BR>\n" );
document.write( "angle that is co-terminal with<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+7%2Api+%29+%2F2+ ALIGN=MIDDLE  ALT=\"+%28+7%2Api+%29+%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%28+7%2Api+%29+%2F+2+=+%28+3%2Api+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+%28+7%2Api+%29+%2F+2+=+%28+3%2Api+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-7%2Api+%29%2F3+ ALIGN=MIDDLE  ALT=\"+-7%2Api+%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "You had to go in a negative ( CW ) direction<BR>\n" );
document.write( "to get this angle. You know that:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+%28+6%2Api+%29+%2F+3+=+-+2%2Api+ ALIGN=MIDDLE  ALT=\"+-+%28+6%2Api+%29+%2F+3+=+-+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Is a fill circle. You just went in a negative<BR>\n" );
document.write( "direction to get there.<BR>\n" );
document.write( "---------------------------<BR>\n" );
document.write( "Likewise,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+%28+7%2Api+%29+%2F+3+=+-+pi+%2F+3+-+%28+6%2Api+%29+%2F+3+ ALIGN=MIDDLE  ALT=\"+-+%28+7%2Api+%29+%2F+3+=+-+pi+%2F+3+-+%28+6%2Api+%29+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "This becomes<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+%28+7%2Api+%29+%2F+3+=+-+pi+%2F+3+-+2%2Api+ ALIGN=MIDDLE  ALT=\"+-+%28+7%2Api+%29+%2F+3+=+-+pi+%2F+3+-+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+%28+7%2Api+%29+%2F+3+=+-+pi+%2F+3+ ALIGN=MIDDLE  ALT=\"+-+%28+7%2Api+%29+%2F+3+=+-+pi+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "Now you just have to convert this to a positive<BR>\n" );
document.write( "angle. If you went <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=++2%2Api+ ALIGN=MIDDLE  ALT=\"++2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and then backed up<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+pi+%2F+3+ ALIGN=MIDDLE  ALT=\"+-+pi+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > that would be the same angle, so<BR>\n" );
document.write( "I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+pi+%2F+3+=++%28+6%2Api+%29+%2F+3+-+pi+%2F+3+ ALIGN=MIDDLE  ALT=\"+-+pi+%2F+3+=++%28+6%2Api+%29+%2F+3+-+pi+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+pi+%2F+3+=+%28+5%2Api+%29+%2F+3+ ALIGN=MIDDLE  ALT=\"+-+pi+%2F+3+=+%28+5%2Api+%29+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So, no I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+-+%28+7%2Api+%29+%2F+3+=+%28+5%2Api+%29+%2F+3+ ALIGN=MIDDLE  ALT=\"+-+%28+7%2Api+%29+%2F+3+=+%28+5%2Api+%29+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  <BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );