document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=870626>Question 870626</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all real numbers in the interval [0, 2pi) that satisfy each equation. <BR>\n" );
document.write( "1. 3sinx+3=2cos^2x\r<BR>\n" );
document.write( "\n" );
document.write( "2. sinx^2x=cos^2x </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #525159 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=525159\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all real numbers in the interval [0, 2pi) that satisfy each equation. <BR>\n" );
document.write( "1. 3sinx+3=2cos^2x<BR>\n" );
document.write( "3sinx+3=2(1-sin^2x)<BR>\n" );
document.write( "sinx+3=2-2sin^2x<BR>\n" );
document.write( "2sin^2x+sinx+1=0<BR>\n" );
document.write( "(2sinx+1)(sinx+1)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2sinx+1=0<BR>\n" );
document.write( "sinx=-1/2<BR>\n" );
document.write( "x=3&#960;/6, 11&#960;/6<BR>\n" );
document.write( "or<BR>\n" );
document.write( "sinx+1=0<BR>\n" );
document.write( "sinx=-1<BR>\n" );
document.write( "x=3&#960;/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2. sinx^2x=cos^2x<BR>\n" );
document.write( "sin^2x-cos^2x=0<BR>\n" );
document.write( "cos(2x)=0<BR>\n" );
document.write( "2x=&#960;/2, 3&#960;/2<BR>\n" );
document.write( "x=&#960;/4, 3&#960;/4<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );