document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=933577>Question 933577</A>: <I><SPAN STYLE=\"word-break: break-all;\"> if sec(theta)=5/3 and theta lies in quadrant i, find sin(theta+pi/6) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #566922 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=566922\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> if sec(theta)=5/3 and theta lies in quadrant i, find sin(theta+pi/6)<BR>\n" );
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document.write( "if sec(theta)=5/3 --> cos(t) = 3/5<BR>\n" );
document.write( "cos^2 + sin^2 = 1 --> sin(t) = 4/5<BR>\n" );
document.write( "---<BR>\n" );
document.write( "sin(t + pi/6) = sin(t)cos(pi/6) + sin(pi/6)cos(t)<BR>\n" );
document.write( "= (4/5)*sqrt(3)/2 + (1/2)*(3/5)<BR>\n" );
document.write( "= 4sqrt(3)/10 + 3/10<BR>\n" );
document.write( " </SPAN>\n" );
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