document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1055520>Question 1055520</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find sin x/2, cos x/2, and tan x/2 from the given information.\r<BR>\n" );
document.write( "\n" );
document.write( "tan x = -4/3, x in quadrent 2 <BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #670727 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=670727\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  Find sin x/2, cos x/2, and tan x/2 from the given information. <BR>\n" );
document.write( "tan x = -4/3, x in quadrant 2 <BR>\n" );
document.write( "---------------<BR>\n" );
document.write( "Since tan = y/x, y = 4 and x = -3<BR>\n" );
document.write( "Then r = sqrt(4^2+3^2) = 5<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "So, cos(x) = x/r = -3/5<BR>\n" );
document.write( "----------------------------<BR>\n" );
document.write( "sin(x/2) = sqrt[(1-cos(x))/2] = sqrt[(1+(3/5))/2] = sqrt[4/5] = 2/sqrt(5)<BR>\n" );
document.write( "------<BR>\n" );
document.write( "cos(x/2) = sqrt[(1-cos(x))/2] = sqrt[(1-(3/5))/2] = sqrt[1/5] = 1/sqrt(5)<BR>\n" );
document.write( "------------<BR>\n" );
document.write( "tan(x/2) = sin(x/2)/cos(x/2) = 2<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" );