document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=851224>Question 851224</A>: <I><SPAN STYLE=\"word-break: break-all;\"> given that sin(theta) equals (1/5)and that the terminal side is in quadrant I, find exact answers for cos(theta+(pi/4)) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #512882 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=512882\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\">  given that sin(theta) equals (1/5)and that the terminal side is in quadrant I, find exact answers for cos(theta+(pi/4))<BR>\n" );
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document.write( "If sin(t) = 1/5, cos(t) = sqrt(5^2-1^2)/5 = 2sqrt(6)/5<BR>\n" );
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document.write( "Then cos(t+(pi/4)] = cos(t)*cos(pi/4)-sin(t)sin(pi/4)<BR>\n" );
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document.write( "= (sqrt(2)/2)(cos(t)+sin(t))<BR>\n" );
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document.write( "= (sqrt(2))/2)((1/5)+(2sqrt(6)/5]<BR>\n" );
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document.write( "= (sqrt(2)/2)(1+2sqrt(6))/5<BR>\n" );
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document.write( "= (sqrt(2)+4sqrt(3))/10<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "========== </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );