document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=455472>Question 455472</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find, to the nearest degree all of the values of x.. 2 cos^2 x + 2 sin x - 1 = 0 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312758 by </B><A HREF=/tutors/aboutme.mpl?userid=lwsshak3><B>lwsshak3(11628)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=lwsshak3><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=312758\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find, to the nearest degree all of the values of x.. 2 cos^2 x + 2 sin x - 1 = 0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "2 cos^2 x + 2 sin x - 1 = 0<BR>\n" );
document.write( "use following quadratic formula to solve for cos x:<BR>\n" );
document.write( "..<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+ ALIGN=MIDDLE  ALT=\"x+=+%28-b+%2B-+sqrt%28+b%5E2-4%2Aa%2Ac+%29%29%2F%282%2Aa%29+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "..<BR>\n" );
document.write( "a=2, b=2, c=-1<BR>\n" );
document.write( "cos x=[-2±sqrt(2^2-4*2*-1)]2*2<BR>\n" );
document.write( "cos x=(-2±&#8730;12)/4)<BR>\n" );
document.write( "cos x=(-2±2&#8730;3)/4<BR>\n" );
document.write( "cos x=-1/2±&#8730;3/2<BR>\n" );
document.write( "cos x=-1/2-&#8730;3)/2=-1.366 (reject,(-1 < cos x < 1))<BR>\n" );
document.write( "or<BR>\n" );
document.write( "cos x=-1/2+&#8730;3)/2=.366<BR>\n" );
document.write( "x=69º+2&#960;n, 291º+2&#960;n (n= any integer) </SPAN>\n" );
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