document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=743932>Question 743932</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all (theta) in the interval [0,2pi] satisfying<BR>\n" );
document.write( "a) 2sin^2(theta) + sin(theta) = 1<BR>\n" );
document.write( "b) 5cos)theta) + 2cos(theta + pi) + 3sin(pi/2 - (theta)) = 3\r<BR>\n" );
document.write( "\n" );
document.write( "Please show work. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #453204 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=453204\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all (theta) in the interval [0,2pi] satisfying<BR>\n" );
document.write( "a) 2sin^2(theta) + sin(theta) = 1<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2sin%5E2%28x%29%2Bsin%28x%29=1 ALIGN=MIDDLE  ALT=\"2sin%5E2%28x%29%2Bsin%28x%29=1\"   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%2Bsin%28x%29-1=0 ALIGN=MIDDLE  ALT=\"2sin%5E2%28x%29%2Bsin%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=%282sin%28x%29-1%29%28sin%28x%29%2B1%29=0 ALIGN=MIDDLE  ALT=\"%282sin%28x%29-1%29%28sin%28x%29%2B1%29=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "2sin(x)-1=0<BR>\n" );
document.write( "sin(x)=1/2<BR>\n" );
document.write( "x=&#960;/6, 5&#960;/6<BR>\n" );
document.write( "or<BR>\n" );
document.write( "sin(x)+1=0<BR>\n" );
document.write( "sin(x)=-1<BR>\n" );
document.write( "x=3&#960;/2<BR>\n" );
document.write( "..<BR>\n" );
document.write( "b) 5cos)theta) + 2cos(theta + pi) + 3sin(pi/2 - (theta)) = 3<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5cos%28x%29%2B2cos%28x%2Bpi%29%2B3sin%28pi%2F2-x%29=3 ALIGN=MIDDLE  ALT=\"5cos%28x%29%2B2cos%28x%2Bpi%29%2B3sin%28pi%2F2-x%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=5cos%28x%29-2cos%28x%29%2B3cos%28x%29=3 ALIGN=MIDDLE  ALT=\"5cos%28x%29-2cos%28x%29%2B3cos%28x%29=3\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "6cos(x)=3<BR>\n" );
document.write( "cos(x)=3/6=1/2<BR>\n" );
document.write( "x=&#960;/3, 5&#960;/3  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );