document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=759939>Question 759939</A>: <I><SPAN STYLE=\"word-break: break-all;\"> find all real values of &#952; in the interval [0°,360°) that satisfy the equation <BR>\n" );
document.write( "4sin^4&#952; - 5sin^2&#952;+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 #462311 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=462311\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> find all real values of &#952; in the interval [0°,360°) that satisfy the equation <BR>\n" );
document.write( "4sin^4&#952; - 5sin^2&#952;+1=0.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=4sin%5E4%28x%29-5sin%5E2%28x%29%2B1=0 ALIGN=MIDDLE  ALT=\"4sin%5E4%28x%29-5sin%5E2%28x%29%2B1=0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "let u=sin^2(x)<BR>\n" );
document.write( "u^2=sin^4(x)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "4u^2-5u+1=0<BR>\n" );
document.write( "(4u-1)(u-1)=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "u=1=sin^2(x)<BR>\n" );
document.write( "sin(x)=±1<BR>\n" );
document.write( "x=90º, 270º<BR>\n" );
document.write( "..<BR>\n" );
document.write( "u=1/4=sin^2(x)<BR>\n" );
document.write( "sin(x)=±1/2<BR>\n" );
document.write( "x=&#960;/6, 5&#960;/6, 7&#960;/6, 11&#960;/6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );