document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=849575>Question 849575</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the value of sin(A+B) if 5cosA minus 4 =0 and 12tanB+5=0? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #511624 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=511624\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the value of sin(A+B) if 5cosA minus 4 =0 and 12tanB+5=0?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "cos(A) = 4/5<BR>\n" );
document.write( "So, sin(A) = 3/5<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "tan(B) = y/x = 5/12<BR>\n" );
document.write( "So y = 5 and x = 12<BR>\n" );
document.write( "Then r = sqrt(5^2+12^2) = 13<BR>\n" );
document.write( "sin(B) = y/r = 5/13<BR>\n" );
document.write( "cos(B) = 12/13<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Ans: So sin(A+B) = sin(A)cos(B) + cos(A)sin(B) = (3/5)(12/13)+(4/5)(5/13)<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= (36+20)/65<BR>\n" );
document.write( "----<BR>\n" );
document.write( "= 56/65<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "======================\r<BR>\n" );
document.write( "\n" );
document.write( "--------------<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );