document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=699890>Question 699890</A>: <I><SPAN STYLE=\"word-break: break-all;\"> sin(x+y) if cosx=8/17 and siny= 12/37 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #431596 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=431596\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin(x+y) if cosx=8/17 and siny= 12/37<BR>\n" );
document.write( "**<BR>\n" );
document.write( "A=adjacent side<BR>\n" );
document.write( "O=opposite side<BR>\n" );
document.write( "H=hypotenuse<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cos x=8/17<BR>\n" );
document.write( "A=8, H=17<BR>\n" );
document.write( "O=&#8730;(H^2-A^2)<BR>\n" );
document.write( "=&#8730;(17^2-8^2)<BR>\n" );
document.write( "=&#8730;(289-64)<BR>\n" );
document.write( "=&#8730;225<BR>\n" );
document.write( "O=15<BR>\n" );
document.write( "sin x=O/H=15/17<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cos x=8/17<BR>\n" );
document.write( "A=8, H=17<BR>\n" );
document.write( "O=&#8730;(H^2-A^2)<BR>\n" );
document.write( "=&#8730;(17^2-8^2)<BR>\n" );
document.write( "=&#8730;(289-64)<BR>\n" );
document.write( "=&#8730;225<BR>\n" );
document.write( "O=15<BR>\n" );
document.write( "sin x=O/H=15/17<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin y=12/37<BR>\n" );
document.write( "O=12, H=37<BR>\n" );
document.write( "A=&#8730;(H^2-O^2)<BR>\n" );
document.write( "=&#8730;(37^2-12^2)<BR>\n" );
document.write( "=&#8730;(1369-144)<BR>\n" );
document.write( "=&#8730;1225<BR>\n" );
document.write( "A=35<BR>\n" );
document.write( "cos y=A/H=35/37<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(x+y)=sin x cos y+cos x sin y<BR>\n" );
document.write( "=15/17*35/37+8/17*12/37<BR>\n" );
document.write( "=525/629+96/629<BR>\n" );
document.write( "=621/629<BR>\n" );
document.write( "..<BR>\n" );
document.write( "check: w/calculator<BR>\n" );
document.write( "x=cos^-1 (8/17)=61.9275º<BR>\n" );
document.write( "y=sin^-1 (12/37)=18.9246<BR>\n" );
document.write( "x+y=80.8521º<BR>\n" );
document.write( "sin(x+y)=sin(80.8521º)&#8776;0.9872..<BR>\n" );
document.write( "621/629&#8776;0.9872..<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );