document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=823998>Question 823998</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given that cos&#945;=(3/4) and 0<&#945;<(&#960;/2), determine the exact value of cos(&#945;/2)<BR>\n" );
document.write( "cos(&#945;/2)=____ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #496002 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=496002\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Given that cos&#945;=(3/4) and 0<&#945;<(&#960;/2), determine the exact value of cos(&#945;/2).<BR>\n" );
document.write( "Identity: <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28a%2F2%29=sqrt%28%28%281%2Bcos%28a%29%29%2F2%29%29=sqrt%28%281%2B3%2F4%29%2F2%29=sqrt%287%2F8%29 ALIGN=MIDDLE   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "calculator check:<BR>\n" );
document.write( "cos(a)=3/4<BR>\n" );
document.write( "a&#8776;41.4096&#730;<BR>\n" );
document.write( "a/2&#8776;20.7048&#730;<BR>\n" );
document.write( "cos(a/2)=cos(20.7048)&#8776;0.9354..<BR>\n" );
document.write( "Exact value as calculated=&#8730;(7/8)&#8776;0.9354.. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );