document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=965703>Question 965703</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given information to find cos(x/2), sin(x/2), and tan(x/2). (Enter your answers in exact form.)<BR>\n" );
document.write( "csc x = 7,    0 < x < &#960;/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 #590263 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=590263\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the given information to find cos(x/2), sin(x/2), and tan(x/2). (Enter your answers in exact form.)<BR>\n" );
document.write( "csc x = 7, 0 < x < &#960;/2<BR>\n" );
document.write( "sin x=1/cscx=1/7<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cosx=sqrt%281-sin%5E2%28x%29%29=sqrt%281-%281%2F49%29%29=sqrt%2848%2F49%29=sqrt%2848%29%2F7 ALIGN=MIDDLE  ALT=\"cosx=sqrt%281-sin%5E2%28x%29%29=sqrt%281-%281%2F49%29%29=sqrt%2848%2F49%29=sqrt%2848%29%2F7\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28x%2F2%29=sqrt%28%281%2Bcosx%29%2F2%29=sqrt%28%281%2Bsqrt%2848%29%2F7%29%2F2%29=sqrt%28%287%2Bsqrt%2848%29%29%2F14%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%28x%2F2%29=sqrt%28%281-cosx%29%2F2%29=sqrt%28%281-sqrt%2848%29%2F7%29%2F2%29=sqrt%28%287-sqrt%2848%29%29%2F14%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%2F2%29=sin%28x%2F2%29%2Fcos%28x%2F2%29=sqrt%287-sqrt%2848%29%29%2Fsqrt%287%2Bsqrt%2848%29%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "check:<BR>\n" );
document.write( "sinx=1/7<BR>\n" );
document.write( "x=8.2132<BR>\n" );
document.write( "x/2=4.1066<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cos(x/2)=cos(4.1066)=0.9974<BR>\n" );
document.write( "exact value as computed=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%287%2Bsqrt%2848%29%29%2F14%29 ALIGN=MIDDLE  ALT=\"sqrt%28%287%2Bsqrt%2848%29%29%2F14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >&#8776;0.9974<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(x/2)=sin(4.1066)=0.0716<BR>\n" );
document.write( "exact value as computed=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%287-sqrt%2848%29%29%2F14%29 ALIGN=MIDDLE  ALT=\"sqrt%28%287-sqrt%2848%29%29%2F14%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >&#8776;0.0714<BR>\n" );
document.write( "..<BR>\n" );
document.write( "tan(x/2)=tan(4.1066)=0.0718<BR>\n" );
document.write( "exact value as computed=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%287-sqrt%2848%29%29%2Fsqrt%287%2Bsqrt%2848%29%29 ALIGN=MIDDLE  ALT=\"sqrt%287-sqrt%2848%29%29%2Fsqrt%287%2Bsqrt%2848%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(let student check computed exact value) </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );