document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=894379>Question 894379</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all theta in the interval [0,2pi) that satisfy the equation.\r<BR>\n" );
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document.write( "sin 2theta = 1/ sqrt 2 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #541994 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=541994\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I'll say <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+alpha+=+2%2Atheta+ ALIGN=MIDDLE  ALT=\"+alpha+=+2%2Atheta+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+sin+%28+alpha+%29+=+1%2Fsqrt%282%29+ ALIGN=MIDDLE  ALT=\"+sin+%28+alpha+%29+=+1%2Fsqrt%282%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+alpha+=+pi%2F4+ ALIGN=MIDDLE  ALT=\"+alpha+=+pi%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "also<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+alpha+=+%283%2Api%29%2F4+ ALIGN=MIDDLE  ALT=\"+alpha+=+%283%2Api%29%2F4+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------------------------<BR>\n" );
document.write( "sin functions in the 3rd and 4th quadrants are <BR>\n" );
document.write( "negative, so I can't include these<BR>\n" );
document.write( "------------------------------<BR>\n" );
document.write( "Now I can say:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Atheta+=+alpha+ ALIGN=MIDDLE  ALT=\"+2%2Atheta+=+alpha+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+alpha%2F2+ ALIGN=MIDDLE  ALT=\"+theta+=+alpha%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+%28+pi%2F4+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+theta+=+%28+pi%2F4+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+pi%2F8+ ALIGN=MIDDLE  ALT=\"+theta+=+pi%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta+=+%28%28+3%2Api+%29%2F4+%29+%2F+2+ ALIGN=MIDDLE  ALT=\"+theta+=+%28%28+3%2Api+%29%2F4+%29+%2F+2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+theta++=+%28+3%2Api+%29%2F8+ ALIGN=MIDDLE  ALT=\"+theta++=+%28+3%2Api+%29%2F8+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "  </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );