document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=863454>Question 863454</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Determine all solutions of the given equation. Express in radians.<BR>\n" );
document.write( "2(cosx)^2-sinx-1=0\r<BR>\n" );
document.write( "\n" );
document.write( "Im having trouble getting the equation to the same trig function throughout and factoring. Please help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #520427 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=520427\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Determine all solutions of the given equation. Express in radians.<BR>\n" );
document.write( "2(cosx)^2-sinx-1=0<BR>\n" );
document.write( "***<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2cos%5E2%28x%29-sin%28x%29-1=0 ALIGN=MIDDLE  ALT=\"2cos%5E2%28x%29-sin%28x%29-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%281-sin%5E2%28x%29%29-sin%28x%29-1=0 ALIGN=MIDDLE  ALT=\"2%281-sin%5E2%28x%29%29-sin%28x%29-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2-2sin%5E2%28x%29-sin%28x%29-1=0 ALIGN=MIDDLE  ALT=\"2-2sin%5E2%28x%29-sin%28x%29-1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-2sin%5E2%28x%29-sin%28x%29%2B1=0 ALIGN=MIDDLE  ALT=\"-2sin%5E2%28x%29-sin%28x%29%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-2sin^2(x)-sin(x)+1=0<BR>\n" );
document.write( "2sin^2(x)+sin(x)-1=0<BR>\n" );
document.write( "(2sin(x)-1)(sin(x)+1)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin(x)=1/2<BR>\n" );
document.write( "x=&#960;/3+2&#960;n, 5&#960;/3+2&#960;n, n=integer<BR>\n" );
document.write( "or<BR>\n" );
document.write( "sin(x)=-1<BR>\n" );
document.write( "x=2&#960;/3+2&#960;n, n=integer  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );