document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=424390>Question 424390</A>: <I><SPAN STYLE=\"word-break: break-all;\"> hi can you help me simplify  this question.<BR>\n" );
document.write( "square root 3 cos x - sin (x + 60) - sin (x+120)<BR>\n" );
document.write( "the answer should be 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #295870 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=295870\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> hi can you help me simplify this question.<BR>\n" );
document.write( "square root 3 cos x - sin (x + 60) - sin (x+120)\r<BR>\n" );
document.write( "\n" );
document.write( "..\r<BR>\n" );
document.write( "\n" );
document.write( "Using sin addition formulas:<BR>\n" );
document.write( "sin(x+y)=sinx cosy+cosx siny<BR>\n" );
document.write( "sqrt(3)cosx-sin(x+60)-sin(x+120)<BR>\n" );
document.write( "=sqrt(3)cosx-(sinx cos60+cosx sin60)-(sinx cos120+cosx sin120)<BR>\n" );
document.write( "=sqrt(3)cosx-(sinx/2+(sqrt(3)/2)cosx)-(-sinx/2+(sqrt(3)/2)cosx)<BR>\n" );
document.write( "=sqrt(3)cosx-sinx/2-(sqrt(3)/2)cosx+sinx/2-(sqrt(3)/2)cosx)<BR>\n" );
document.write( "=sqrt(3)cosx-sqrt(3)/2)cosx-sqrt(3)/2)cosx<BR>\n" );
document.write( "=sqrt(3)cosx-sqrt(3)cosx=0 (ans)\r<BR>\n" );
document.write( "<BR>\n" );
document.write( "\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );