document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=977063>Question 977063</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve for theta:  cos(2theta+pi) = +/- (sqrt(2)/2)  [There are no restrictions, so answer should have an infinite number of solutions.]\r<BR>\n" );
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document.write( "A little bit of background...  I realize this may be a cut-above regular algebra and as such I'm sorry for posting it on here.  The thing is, it's actually really easy stuff and I already know how to solve these.  What's confusing me right now is how to write the answer(s) in a way that shows there are an infinite number of solutions.  Most teachers restrict the domain.  Not mine!  Thank you guys again, very much! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #598580 by </B><A HREF=/tutors/aboutme.mpl?userid=Fombitz><B>Fombitz(32388)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Fombitz><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=Fombitz><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=598580\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%282%2Atheta%2Bpi%29=0+%2B-+sqrt%282%29%2F2 ALIGN=MIDDLE  ALT=\"cos%282%2Atheta%2Bpi%29=0+%2B-+sqrt%282%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The solutions are,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atheta%2Bpi=%281%2F4%29pi%2B2pi%2Ak ALIGN=MIDDLE  ALT=\"2%2Atheta%2Bpi=%281%2F4%29pi%2B2pi%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atheta%2Bpi=%283%2F4%29pi%2B2pi%2Ak ALIGN=MIDDLE  ALT=\"2%2Atheta%2Bpi=%283%2F4%29pi%2B2pi%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atheta%2Bpi=%285%2F4%29pi%2B2pi%2Ak ALIGN=MIDDLE  ALT=\"2%2Atheta%2Bpi=%285%2F4%29pi%2B2pi%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atheta%2Bpi=%287%2F4%29pi%2B2pi%2Ak ALIGN=MIDDLE  ALT=\"2%2Atheta%2Bpi=%287%2F4%29pi%2B2pi%2Ak\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "So then,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atheta=%281%2F4%29pi%2B2pi%2Ak-pi ALIGN=MIDDLE  ALT=\"2%2Atheta=%281%2F4%29pi%2B2pi%2Ak-pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atheta=%283%2F4%29pi%2B2pi%2Ak-pi ALIGN=MIDDLE  ALT=\"2%2Atheta=%283%2F4%29pi%2B2pi%2Ak-pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atheta=%285%2F4%29pi%2B2pi%2Ak-pi ALIGN=MIDDLE  ALT=\"2%2Atheta=%285%2F4%29pi%2B2pi%2Ak-pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atheta=%287%2F4%29pi%2B2pi%2Ak-pi ALIGN=MIDDLE  ALT=\"2%2Atheta=%287%2F4%29pi%2B2pi%2Ak-pi\"   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=%281%2F8%29pi%2Bpi%2Ak-pi%2F2 ALIGN=MIDDLE  ALT=\"theta=%281%2F8%29pi%2Bpi%2Ak-pi%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=%283%2F8%29pi%2Bpi%2Ak-pi%2F2 ALIGN=MIDDLE  ALT=\"theta=%283%2F8%29pi%2Bpi%2Ak-pi%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=%285%2F8%29pi%2Bpi%2Ak-pi%2F2 ALIGN=MIDDLE  ALT=\"theta=%285%2F8%29pi%2Bpi%2Ak-pi%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=%287%2F8%29pi%2Bpi%2Ak-pi%2F2 ALIGN=MIDDLE  ALT=\"theta=%287%2F8%29pi%2Bpi%2Ak-pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Simplifying,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=pi%2A%28k-3%2F8%29 ALIGN=MIDDLE  ALT=\"theta=pi%2A%28k-3%2F8%29\"   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%2A%28k-1%2F8%29 ALIGN=MIDDLE  ALT=\"theta=pi%2A%28k-1%2F8%29\"   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%2A%28k%2B1%2F8%29 ALIGN=MIDDLE  ALT=\"theta=pi%2A%28k%2B1%2F8%29\"   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%2A%28k%2B3%2F8%29 ALIGN=MIDDLE  ALT=\"theta=pi%2A%28k%2B3%2F8%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "where k is any integer.<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );