document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=533692>Question 533692</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find the x-intercepts for the function f(x)= sin2x - 6sin x + 2cos x - 6 on the interval [0,2pi] </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #351158 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=351158\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find the x-intercepts for the function f(x)= sin2x - 6sin x + 2cos x - 6 on the interval [0,2pi]<BR>\n" );
document.write( "**<BR>\n" );
document.write( "f(x)= sin2x - 6sin x + 2cos x - 6<BR>\n" );
document.write( "set f(x)=0<BR>\n" );
document.write( "sin2x - 6sin x + 2cos x - 6=0<BR>\n" );
document.write( "2sinxcosx-6sinx+2cosx-6=0<BR>\n" );
document.write( "2sinx(cosx-3)+2(cosx-3)=0<BR>\n" );
document.write( "(cosx-3)(2sinx+2)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "cosx-3=0<BR>\n" );
document.write( "cosx&#8800;3 (reject)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2sinx+2=0<BR>\n" );
document.write( "2sinx=-2<BR>\n" );
document.write( "sinx=-1<BR>\n" );
document.write( "x=3&#960;/2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );