document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=964566>Question 964566</A>: <I><SPAN STYLE=\"word-break: break-all;\"> For the problem: <BR>\n" );
document.write( "Find all solutions to<BR>\n" );
document.write( "2cos^2(theta) -1=0\r<BR>\n" );
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document.write( "I need to find all solutions<BR>\n" );
document.write( "I would rearrange to get cos2(theta)=1/2<BR>\n" );
document.write( "why doesn't it go from cos2(theta) to 1-sin^2(theta)=1/2 since of the identity for cos(2(theta))?\r<BR>\n" );
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document.write( "I don't understand how it only becomes  cos2(theta)=1/2 to become pi/6? what about the other identity? and what does 2(theta) mean exactly? why is the answer pi/6?\r<BR>\n" );
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document.write( "Please help\r<BR>\n" );
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document.write( "Thank you<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #589445 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=589445\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> You should get the same answer either way since it is an identity.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=cos%5E2%28theta%29=1%2F2 ALIGN=MIDDLE  ALT=\"cos%5E2%28theta%29=1%2F2\"   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=+0+%2B-+sqrt%281%2F2%29 ALIGN=MIDDLE  ALT=\"cos%28theta%29=+0+%2B-+sqrt%281%2F2%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=%281%2F4%29pi ALIGN=MIDDLE  ALT=\"theta=%281%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=%283%2F4%29pi ALIGN=MIDDLE  ALT=\"theta=%283%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=%285%2F4%29pi ALIGN=MIDDLE  ALT=\"theta=%285%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=%287%2F4%29pi ALIGN=MIDDLE  ALT=\"theta=%287%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=1-sin%5E2%28theta%29=1%2F2 ALIGN=MIDDLE  ALT=\"1-sin%5E2%28theta%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sin%5E2%28theta%29=-1%2F2 ALIGN=MIDDLE  ALT=\"-sin%5E2%28theta%29=-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sin%5E2%28theta%29=1%2F2 ALIGN=MIDDLE  ALT=\"sin%5E2%28theta%29=1%2F2\"   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%29=+0+%2B-+sqrt%281%2F2%29 ALIGN=MIDDLE  ALT=\"sin%28theta%29=+0+%2B-+sqrt%281%2F2%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=%281%2F4%29pi ALIGN=MIDDLE  ALT=\"theta=%281%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=%283%2F4%29pi ALIGN=MIDDLE  ALT=\"theta=%283%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=%285%2F4%29pi ALIGN=MIDDLE  ALT=\"theta=%285%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=theta=%287%2F4%29pi ALIGN=MIDDLE  ALT=\"theta=%287%2F4%29pi\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( ".<BR>\n" );
document.write( "Not sure where <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F6 ALIGN=MIDDLE  ALT=\"pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > comes into it?\r<BR>\n" );
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