document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=868329>Question 868329</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve cos2x+sinx=1in[0,2pi)? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #523481 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=523481\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Solve cos(2x)+sinx=1in[0,2pi)?<BR>\n" );
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document.write( "cos(2x) = cos^2(x)-sin^2(x) = 1-2sin^2(x)<BR>\n" );
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document.write( "Your equation:<BR>\n" );
document.write( "1-2sin^2(x)+sin(x) = 1<BR>\n" );
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document.write( "Rearrange:<BR>\n" );
document.write( "2sin^2(x)-sin(x) = 0<BR>\n" );
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document.write( "Factor:<BR>\n" );
document.write( "sin(x)[2sin(x)-1] = 0<BR>\n" );
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document.write( "sin(x) = 0 or sin(x) = 1/2<BR>\n" );
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document.write( "x = 0 or pi or pi/6 or (5/6)pi<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H.<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );