document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=865334>Question 865334</A>: <I><SPAN STYLE=\"word-break: break-all;\"> verify tan theta/2, given tan theta=root 7/3 and theta is in Quadrant 3. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #521633 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=521633\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> verify tan theta/2, <BR>\n" );
document.write( "given tan theta=root 7/3 and theta is in Quadrant 3.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "In QIII::<BR>\n" );
document.write( "y = -sqrt(7) ; x = -3<BR>\n" );
document.write( "r = sqrt[7+3^2] = 4<BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "cos(t) = x/r = -3/4<BR>\n" );
document.write( "sin(t) = -sqrt(7)/4 <BR>\n" );
document.write( "tan(t/2) =  sin(t/2)/cos(t/2) = [-sqrt(7)]/(-3) = (1/3)sqrt(7)<BR>\n" );
document.write( "===================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "=================== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );