document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=781743>Question 781743</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me solve this equation: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan+x=+-+sqrt%28+3+%29+ ALIGN=MIDDLE  ALT=\"tan+x=+-+sqrt%28+3+%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" >. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #476111 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=476111\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> tan x= - sqrt( 3 )<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Draw a 30-60 degree right triangle.<BR>\n" );
document.write( "Label the angles so you see where 30 degrees is<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Let the side opposite the 30 degree angle be 1<BR>\n" );
document.write( "Then the hypotenuse is 2<BR>\n" );
document.write( "And the side opposite the 60 degree angle is sqrt(3)<BR>\n" );
document.write( "----------<BR>\n" );
document.write( "Notice that tan(60) = sqrt(3)/1 = sqrt(3)<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "So 60 degrees is the reference angle.<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "Then x = arctan(-sqrt(3)) is either 180-60 = 120 degrees<BR>\n" );
document.write( "or x = arctan(-sqrt(3))is 360-60 = 300 degrees.<BR>\n" );
document.write( "===============<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );