document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1087691>Question 1087691</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve this equation for 0 &#8804; &#952; &#8804; 2 : sin &#952; cos &#952; + cos &#952; = 0.<BR>\n" );
document.write( "a. &#960;/2, 3&#960;/2<BR>\n" );
document.write( "b.0, &#960;<BR>\n" );
document.write( "c.&#960;/2, -1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #702056 by </B><A HREF=/tutors/aboutme.mpl?userid=math_helper><B>math_helper(2461)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=math_helper><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/cgi-bin/show-face.mpl?user=math_helper><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=702056\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Are you sure the domain of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta ALIGN=MIDDLE  ALT=\"theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > is limited to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0%3C=+theta+%3C=+2+ ALIGN=MIDDLE  ALT=\"+0%3C=+theta+%3C=+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ?    (It looks as though it might really be <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3C=+theta+%3C=+2pi+ ALIGN=MIDDLE  ALT=\"+0+%3C=+theta+%3C=+2pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (?) )   \r<BR>\n" );
document.write( "\n" );
document.write( "I ask because for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0%3C=theta%3C=2+ ALIGN=MIDDLE  ALT=\"+0%3C=theta%3C=2+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  none of the answers work because they all have values of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta ALIGN=MIDDLE  ALT=\"+theta\"   DISABLED_style= \"max-width:90%; height:auto;\" > outside [0,2].<BR>\n" );
document.write( "—<BR>\n" );
document.write( "If the domain is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+%3C=+theta+%3C=+2pi+ ALIGN=MIDDLE  ALT=\"+0+%3C=+theta+%3C=+2pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" > then (a) works.  \r<BR>\n" );
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document.write( "First lets factor out a <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28theta%29+ ALIGN=MIDDLE  ALT=\"+cos%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28theta%29cos%28theta%29+%2B+cos%28theta%29+ ALIGN=MIDDLE  ALT=\"+sin%28theta%29cos%28theta%29+%2B+cos%28theta%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "= <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28theta%29%28sin%28theta%29%2B1%29+=+0+ ALIGN=MIDDLE  ALT=\"+cos%28theta%29%28sin%28theta%29%2B1%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  (*)\r<BR>\n" );
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document.write( "(*) is zero if <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%28theta%29+=+0 ALIGN=MIDDLE  ALT=\"cos%28theta%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin%28theta%29%2B1+=+0+ ALIGN=MIDDLE  ALT=\"+sin%28theta%29%2B1+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > <BR>\n" );
document.write( "—<BR>\n" );
document.write( "(a) <BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%28pi%2F2%29+=+0+ ALIGN=MIDDLE  ALT=\"+cos%28pi%2F2%29+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > so (*) is zero<BR>\n" );
document.write( "     <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+cos%283pi%2F2%29+=+0 ALIGN=MIDDLE  ALT=\"+cos%283pi%2F2%29+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" > so again (*) goes to zero.\r<BR>\n" );
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document.write( "—<BR>\n" );
document.write( "(b) does not work because (*) is not zero for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+0+ ALIGN=MIDDLE  ALT=\"+theta+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  or  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+pi+ ALIGN=MIDDLE  ALT=\"+theta+=+pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "(c) does not work because (*) is not zero for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+-1+ ALIGN=MIDDLE  ALT=\"+theta+=+-1+\"   DISABLED_style= \"max-width:90%; height:auto;\" >  ( it is zero only for <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+pi%2F2+ ALIGN=MIDDLE  ALT=\"+theta+=+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" > )<BR>\n" );
document.write( " </SPAN>\n" );
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