document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=613688>Question 613688</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Given cos(theta)= 1/4 with theta in Quadrant 1, find cos(theta/2) , sin(theta/2) , sin2(theta) , cos2(theta): </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386165 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=386165\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cos(t) = 1/4<BR>\n" );
document.write( "this makes t = 75.52248781 degrees.<BR>\n" );
document.write( "cos(75.52248781) = 1/4<BR>\n" );
document.write( "that establishes your baseline angle.<BR>\n" );
document.write( "cos(t/2) is equal to cos(75.52248781/2) = .790569415<BR>\n" );
document.write( "sin(t/2) is equal to sin(75.52248781/2) = .612372436<BR>\n" );
document.write( "sin^2(t) = (sin(t))^2 = (.968245837)^2 = .9375<BR>\n" );
document.write( "cos^2(t) = (cos(t))^2 = (25)^2 = .0625<BR>\n" );
document.write( "you need to use your calculator to get these values.<BR>\n" );
document.write( "find cos^-1(1/4) first and then work from there.\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );