document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1002349>Question 1002349</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find sin(u/2) given that tan(u)=12.287 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #619278 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=619278\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find sin(u/2) given that tan(u)=12.287 <BR>\n" );
document.write( "----<BR>\n" );
document.write( "By definition, tan = y/x<BR>\n" );
document.write( "So, y = 12.287 and x = 1<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Then r = sqrt[12.287^2 + 1^2] = sqrt[151.97] = 12.327<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Therefore: cos(u) = x/r = 1/12.327<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "Your Problem::<BR>\n" );
document.write( "sin(u/2) = sqrt[(1-cos(x))/2]<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Ans: sin(u/2) = sqrt[0.9189/2]  = 06778<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" );