document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=613414>Question 613414</A>: <I><SPAN STYLE=\"word-break: break-all;\"> how do you prove that 1/4(sin4x) = sinx(cosx^3)-cosx(sinx^3)  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #386037 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=386037\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> how do you prove that 1/4(sin4x) = sinx(cosx^3)-cosx(sinx^3)<BR>\n" );
document.write( "**<BR>\n" );
document.write( "Start with left side:<BR>\n" );
document.write( "1/4(sin4x)<BR>\n" );
document.write( "=1/4[2sin2xcos2x]<BR>\n" );
document.write( "=1/2[2sixcosx(cos^2x-sin^2x)<BR>\n" );
document.write( "=sinxcos^3x-cosxsin^3x<BR>\n" );
document.write( "Verified: <BR>\n" );
document.write( "left side=right side </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );