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 #511636 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=511636\">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" );
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document.write( "For:[0,&#960;]<BR>\n" );
document.write( "5cosA-4=0<BR>\n" );
document.write( "cosA=4/5 ((3-4-5) right triangle)<BR>\n" );
document.write( "sinA=3/5<BR>\n" );
document.write( "..<BR>\n" );
document.write( "12tanB+5=0<BR>\n" );
document.write( "tanB=-5/12 ((5-12-13) right triangle in quadrant II)<BR>\n" );
document.write( "sinB=5/13<BR>\n" );
document.write( "cosB=-12/13<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Identity: sin(A+B)=sinAcosB+cosAsinB<BR>\n" );
document.write( "sin(A+B)=(3/5)*(-12/13)+(4/5)*(5/13)=-36/65+20/65=-16/65<BR>\n" );
document.write( "..<BR>\n" );
document.write( "calculator check:<BR>\n" );
document.write( "cosA=4/5<BR>\n" );
document.write( "A&#8776;36.87&#730;<BR>\n" );
document.write( "sinB=5/13<BR>\n" );
document.write( "B&#8776;157.38&#730;<BR>\n" );
document.write( "A+B&#8776;194.25<BR>\n" );
document.write( "sin(A+B)&#8776;sin(194.25)&#8776;-0.2461..<BR>\n" );
document.write( "Exact value=-16/65&#8776;-0.2461.. </SPAN>\n" );
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