document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=806507>Question 806507</A>: <I><SPAN STYLE=\"word-break: break-all;\"> SinA =0.1 cos B=0.4 sin C=.7 what is the answer sin(A+B)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #485869 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=485869\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> SinA =0.1 cos B=0.4 sin C=.7 what is the answer sin(A+B)?<BR>\n" );
document.write( "***<BR>\n" );
document.write( "Identity: sin(A+B)=sinAcosB+cosAsinB<BR>\n" );
document.write( "cosA=&#8730;(1-sin^2A)=&#8730;(1-(.1^2)=&#8730;1-.01)=&#8730;.99<BR>\n" );
document.write( "sinB=&#8730;(1-cos^2B)=&#8730;(1-(.4^2)=&#8730;1-.16)=&#8730;.84<BR>\n" );
document.write( "sin(A+B)=sinAcosB+cosAsinB=0.1*0.4+&#8730;.99*&#8730;.84=.04+&#8730;.8316<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Check: (w/calculator)<BR>\n" );
document.write( "sinA=0.1<BR>\n" );
document.write( "A&#8776;5.7392&#730;<BR>\n" );
document.write( "cosB=0.4<BR>\n" );
document.write( "B&#8776;66.4218&#730;<BR>\n" );
document.write( "A+B&#8776;72.1610&#730;<BR>\n" );
document.write( "sin(A+B)=sin(72.1610)&#8776;0.9519<BR>\n" );
document.write( "exact value as calculated=.04+&#8730;.8316&#8776;0.9519 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );