document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1086220>Question 1086220</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I need to solve this - hoping for help.  \r<BR>\n" );
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document.write( "2sin^2(theta) - 5sin(theta) + 3 = 0, on [0,2pi]<BR>\n" );
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document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #700398 by </B><A HREF=/tutors/aboutme.mpl?userid=rothauserc><B>rothauserc(4718)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=rothauserc><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=rothauserc><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=700398\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> 2sin^2(theta) - 5sin(theta) + 3 = 0<BR>\n" );
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document.write( "factor the left hand side<BR>\n" );
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document.write( "(sin(theta) - 1) * (2sin(theta) - 3) = 0<BR>\n" );
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document.write( "there are multiple solutions<BR>\n" );
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document.write( "1) sin(theta) - 1 = 0<BR>\n" );
document.write( "sin(theta) = 1<BR>\n" );
document.write( "take the inverse sin<BR>\n" );
document.write( "theta = pi/2<BR>\n" );
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document.write( "2) 2sin(theta) - 3 = 0<BR>\n" );
document.write( "sin(theta) = 3/2<BR>\n" );
document.write( "the inverse sin(3/2) is not defined on [0, 2pi] since it is an imaginary number<BR>\n" );
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