document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1033611>Question 1033611</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the exact value if 0 < x < pi/2 and 0 < y < pi/2 ; sin(x+y) if sin(x) = 3/5 and sin(y)= 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 #648315 by </B><A HREF=/tutors/aboutme.mpl?userid=fractalier><B>fractalier(6550)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=fractalier><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=fractalier><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=648315\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sin(x+y) = sin x cos y + sin y cos x<BR>\n" );
document.write( "All we need are the cosines...<BR>\n" );
document.write( "cos x = sqrt(1 - sin^2 x) = sqrt(1 - (3/5)^2) = 4/5<BR>\n" );
document.write( "cos y = sqrt(1 - sin^2 y) = sqrt(1 - (12/37)^2) = 35/37<BR>\n" );
document.write( "so that, when we plug in we get<BR>\n" );
document.write( "sin(x+y) = 3/5 * 35/37 + 12/37 * 4/5 = 105/185 + 48/185 = 153/185 </SPAN>\n" );
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