document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=962185>Question 962185</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the given information about &#952; to find the exact values of the following.<BR>\n" );
document.write( "cos(&#952;) = 56/65<BR>\n" );
document.write( "where 0 < &#952; < &#960;/2:\r<BR>\n" );
document.write( "\n" );
document.write( "sin(2x)=<BR>\n" );
document.write( "sin(x/2)=<BR>\n" );
document.write( "cos(2x)=<BR>\n" );
document.write( "cos(x/2)=<BR>\n" );
document.write( "tan(2x)=<BR>\n" );
document.write( "tan(x/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 #587841 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=587841\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Use the given information about x to find the exact values of the following.<BR>\n" );
document.write( "cosx = 56/65<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sinx=sqrt%281-cos%5E2%28x%29%29=sqrt%281-%283136%2F4225%29%29=sqrt%281-%283136%2F4225%29%29=sqrt%281089%2F4225%29=33%2F65 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where 0 < &#952; < &#960;/2: <BR>\n" );
document.write( "sin(2x)=2*sinx*cosx=2*33/65*56/65=3696/4225<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-%2856%2F65%29%2F2%29%29=sqrt%28%289%2F65%29%2F2%29=sqrt%289%2F130%29=3%2Fsqrt%28130%29=3sqrt%28130%29%2F130 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "cos(2x)=cos^2(x)-sin^2(x)=3136/4225-1089/4245=2047/4245<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%2B%2856%2F65%29%2F2%29%29=sqrt%28%28121%2F65%29%2F2%29=11%2Fsqrt%28130%29=11sqrt%28130%29%2F130 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "tan(2x)=sin(2x)/cos(2x)=3696/2047<BR>\n" );
document.write( "tan(x/2)=sin(x/2)/cos(x/2)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3%2F11 ALIGN=MIDDLE  ALT=\"3%2F11\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );