document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=932132>Question 932132</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact values of <BR>\n" );
document.write( "sin 2u,<BR>\n" );
document.write( " <BR>\n" );
document.write( "cos 2u,<BR>\n" );
document.write( " and <BR>\n" );
document.write( "tan 2u<BR>\n" );
document.write( " using the double-angle formulas.\r<BR>\n" );
document.write( "\n" );
document.write( "                  sin u = &#8722;3/5,    3&#960;/2 < u < 2&#960; </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566039 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=566039\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the exact values of<BR>\n" );
document.write( "sin 2u,<BR>\n" );
document.write( "cos 2u,<BR>\n" );
document.write( "and<BR>\n" );
document.write( "tan 2u<BR>\n" );
document.write( "using the double-angle formulas.<BR>\n" );
document.write( "sin u = &#8722;3/5, 3&#960;/2 < u < 2&#960;<BR>\n" );
document.write( "***<BR>\n" );
document.write( "reference angle u is in quadrant IV where cos>0, sin<0<BR>\n" );
document.write( "sin u=-3/5<BR>\n" );
document.write( "cos u=4/5(working with (3-4-5) reference right triangle in quadrant IV)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin 2u=2sin u*cos u=2*(-3/5)*4/5=-24/25<BR>\n" );
document.write( "cos 2u=1-2sin^2(u)=1-2*(9/25)=1-18/25=7/25<BR>\n" );
document.write( "tan 2u=sin/cos=-24/7 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );