document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=928621>Question 928621</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all solutions of the equation  3 sin^2 x -7 sin x + 2 = 0 in the interval [0,2pi).Help would truly be appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #563739 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=563739\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all solutions of the equation  3 sin^2 x -7 sin x + 2 = 0 in the interval [0,2pi).<BR>\n" );
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document.write( "Sub u for sin(x)<BR>\n" );
document.write( "3u^2 - 7u + 2 = 0<BR>\n" );
document.write( "Solve the quadratic, sub back sin(x) for u.<BR>\n" );
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document.write( "(3u - 1)*(u - 2) = 0<BR>\n" );
document.write( "u = 2, 1/3<BR>\n" );
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document.write( "Sub back<BR>\n" );
document.write( "sin(x) = 2  (reject, > 1)<BR>\n" );
document.write( "sin(x) = 1/3<BR>\n" );
document.write( "x =~0.33984 radians<BR>\n" );
document.write( "x =~ 2.802 radians<BR>\n" );
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