document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=479725>Question 479725</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Please help me find all solutions of the equation in the interval [0, 2pi)<BR>\n" );
document.write( "2 sin^2x + 3 sinx + 1 = 0 </SPAN>\n" );
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document.write( "2 sin^2x + 3 sinx + 1 = 0<BR>\n" );
document.write( "**<BR>\n" );
document.write( "let u=sin x<BR>\n" );
document.write( "u^2=sin^2 x<BR>\n" );
document.write( "2u^2+3u+1=0<BR>\n" );
document.write( "(2u+1)(u+1)=0<BR>\n" );
document.write( "2u+1=0<BR>\n" );
document.write( "u=-1/2<BR>\n" );
document.write( "or<BR>\n" );
document.write( "u+1=0<BR>\n" );
document.write( "u=-1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin x=u=-1<BR>\n" );
document.write( "x=&#960;<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin x=-1/2<BR>\n" );
document.write( "x=7&#960;/6 and 11&#960;/6 (In quadrants III and IV where sin is negative)<BR>\n" );
document.write( "solutions:<BR>\n" );
document.write( "x=&#960;, 7&#960;/6, 11&#960;/6 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );