document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=514140>Question 514140</A>: <I><SPAN STYLE=\"word-break: break-all;\"> verify Sin(4x)=4sin(x)cos^3(x)-4sin^3(x)cos(x)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #343623 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=343623\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> verify Sin(4x)=4sin(x)cos^3(x)-4sin^3(x)cos(x)?<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Sin(4x)=4sin(x)cos^3(x)-4sin^3(x)cos(x)<BR>\n" );
document.write( "starting with left side<BR>\n" );
document.write( "sin(4x)=2sin(2x)Cos(2x)<BR>\n" );
document.write( "=2[2sin(x)cos(x)(cos^2(x)-sin^2(x)]<BR>\n" );
document.write( "=2[2sin(x)cos^3(x)-2sin^3(x)cos(x)]<BR>\n" );
document.write( "=4sin(x)cos^3(x)-4sin^3(x)cos(x)<BR>\n" );
document.write( "verified:<BR>\n" );
document.write( "left side = right side </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );