document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1036282>Question 1036282</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions of the equation in the interval [0,2pi).\r<BR>\n" );
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document.write( "sin^2x=2-2cosx\r<BR>\n" );
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document.write( "Write your answer in radians in terms of pi.<BR>\n" );
document.write( "If there is more than one solution, separate them with commas. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #650942 by </B><A HREF=/tutors/aboutme.mpl?userid=Cromlix><B>Cromlix(4381)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Cromlix><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=Cromlix><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=650942\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Hi there,<BR>\n" );
document.write( "sin^2x = 2 - 2cosx<BR>\n" );
document.write( "Using cos^2x + sin^2x = 1<BR>\n" );
document.write( "so, sin^2x = 1 - cos^2x<BR>\n" );
document.write( "1 - cos^2x = 2 - 2cosx<BR>\n" );
document.write( "Rearrange.<BR>\n" );
document.write( "cos^2x - 2cosx + 1 = 0<BR>\n" );
document.write( "(cosx - 1)(cosx - 1) = 0<BR>\n" );
document.write( "cosx - 1 = 0<BR>\n" );
document.write( "cosx = 1<BR>\n" );
document.write( "x = 0, 2&#960;<BR>\n" );
document.write( "Hope this helps :-) </SPAN>\n" );
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