document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1024162>Question 1024162</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find a pair of acute angles that satisfy the equation sin(3x+9)=cos(x+5) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #639616 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=639616\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Since sin x = cos (90-x), we have<BR>\n" );
document.write( "3x + 9 = 90 - (x+5)<BR>\n" );
document.write( "3x + 9 = 85 - x<BR>\n" );
document.write( "4x = 76<BR>\n" );
document.write( "x = 19<BR>\n" );
document.write( "so that<BR>\n" );
document.write( "sin 66 = cos 24 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );