document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1176187>Question 1176187</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For positive acute angles A and B, it is known that sin A = 35/37 and cos B = 5/13. Find the value of cos(A+B) in simplest form. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #802488 by </B><A HREF=/tutors/aboutme.mpl?userid=greenestamps><B>greenestamps(13203)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=greenestamps><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=greenestamps><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=802488\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <br><BR>\n" );
document.write( "sin A = 35/37 means a leg of 35 and a hypotenuse of 37; use the Pythagorean Theorem to find the other leg.  Then use that to find cos A.<br><BR>\n" );
document.write( "cos B = 5/13 means a leg of 5 and a hypotenuse of 13.  You might recognize that as a Pythagorean Triple with the other leg 12.  Use that to find sin B.<br><BR>\n" );
document.write( "cos(A+B) = (cos A)(cos B)=(sin A)(sin B)<br><BR>\n" );
document.write( "Do the calculations....<br><BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );