document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=785500>Question 785500</A>: <I><SPAN STYLE=\"word-break: break-all;\"> solve 3sin(2x+40)=2cos(2x+40) where 0<x<360 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477586 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=477586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> solve 3sin(2x+40)=2cos(2x+40) where 0 < x  <360<BR>\n" );
document.write( "sub t for 2x+40 (saves typing)<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "3sin(t) = 2cos(t)<BR>\n" );
document.write( "9sin^2 = 4cos^2 = 4(1 - sin^2)<BR>\n" );
document.write( "9sin^2 = 4 - 4sin^2<BR>\n" );
document.write( "13sin^2 = 4<BR>\n" );
document.write( "sin^2 = 4/13<BR>\n" );
document.write( "sin(2x+40) = +2sqrt(13)/13<BR>\n" );
document.write( "x = 356.845 degs<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "sin(2x+40) = -2sqrt(13)/13<BR>\n" );
document.write( "===========================<BR>\n" );
document.write( "x = 323.155 degs </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );