document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=966018>Question 966018</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine the exact values of each expression for the given value of &#952;.  <BR>\n" );
document.write( "Note: Your answers must be in EXACT form. They cannot contain decimals. If an answer involves a square root, write it as sqrt . For instance, the square root of 2 should be written as sqrt(2).<BR>\n" );
document.write( "If &#952;=&#960;/3, then tan(2&#952;)=  <BR>\n" );
document.write( "If &#952;=&#960;/8, then cot(2&#952;)=  <BR>\n" );
document.write( "If &#952;=&#960;/2, then sec(&#952;/2)=  <BR>\n" );
document.write( "If &#952;=5&#960;/2, then csc(&#952;/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 #590509 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=590509\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine the exact values of each expression for the given value of &#952;.<BR>\n" );
document.write( "Note: Your answers must be in EXACT form. They cannot contain decimals. If an answer involves a square root, write it as sqrt . For instance, the square root of 2 should be written as sqrt(2).<BR>\n" );
document.write( "If &#952;=&#960;/3, then tan(2&#952;)=<BR>\n" );
document.write( "If &#952;=&#960;/8, then cot(2&#952;)=<BR>\n" );
document.write( "If &#952;=&#960;/2, then sec(&#952;/2)=<BR>\n" );
document.write( "If &#952;=5&#960;/2, then csc(&#952;/2)= <BR>\n" );
document.write( "**\r<BR>\n" );
document.write( "\n" );
document.write( "use x for theta<BR>\n" );
document.write( "x=pi/3<BR>\n" );
document.write( "tan(2x)=tan(2pi/3)=-<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "x=pi/8<BR>\n" );
document.write( "cot(2x)=cot(pi/4)=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x=pi/2<BR>\n" );
document.write( "cos(x/2)=sin((pi/2)/2)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%281%2Bcos%28pi%2F2%29%29%2F2%29=sqrt%281%2F2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%281%2Bcos%28pi%2F2%29%29%2F2%29=sqrt%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=1/&#8730;2<BR>\n" );
document.write( "sec(x/2)=1/cos(x/2)=&#8730;2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "x=5pi/2<BR>\n" );
document.write( "sin(x/2)=sin((5pi/2)/2)=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%28%281-cos%285pi%2F2%29%29%2F2%29=sqrt%281%2F2%29 ALIGN=MIDDLE  ALT=\"sqrt%28%281-cos%285pi%2F2%29%29%2F2%29=sqrt%281%2F2%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >=1/&#8730;2<BR>\n" );
document.write( "csc(x/2)=1/sin(x/2)=&#8730;2<BR>\n" );
document.write( "note:<BR>\n" );
document.write( "cos(pi/2)=0<BR>\n" );
document.write( "cos(5pi/2)=0 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );