document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=956178>Question 956178</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How many points in the interval 0 &#8804; x &#8804; 2&#960; satisfy the equation cos 2x = –2 sin x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #584163 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=584163\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How many points in the interval 0 &#8804; x &#8804; 2&#960; <BR>\n" );
document.write( "satisfy the equation cos 2x = –2 sin x?<BR>\n" );
document.write( "----<BR>\n" );
document.write( "cos^2(x)-sin^2(x) = -2sin(x)<BR>\n" );
document.write( "-------<BR>\n" );
document.write( "1 - 2sin^2 = -sin<BR>\n" );
document.write( "-----<BR>\n" );
document.write( "2sin^2(x) - sin(x) -1<BR>\n" );
document.write( "------<BR>\n" );
document.write( "Factor::<BR>\n" );
document.write( "(2sin(x)+1)(sin(x)-1) = 0<BR>\n" );
document.write( "--------<BR>\n" );
document.write( "sin(x) = -1/2 or sin(x) = 1<BR>\n" );
document.write( "-----------------------------<BR>\n" );
document.write( "x = (7/6)pi or x = (11/12)pi or pi/2<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
document.write( "------------------- </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );