document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=861726>Question 861726</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all values of t in the interval [0, 2&#960;] satisfying the given equation\r<BR>\n" );
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document.write( "4 sin 2t + 2 tan 2t = 0  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #519187 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=519187\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all values of t in the interval [0, 2&#960;] satisfying the given equation <BR>\n" );
document.write( "4 sin 2t + 2 tan 2t = 0<BR>\n" );
document.write( "divide by 2<BR>\n" );
document.write( "2sin2t+tan2t=0<BR>\n" );
document.write( "2sin2t+sin2t/cos2t=0<BR>\n" );
document.write( "sin2t(2+(1/cos2t))=0<BR>\n" );
document.write( "..<BR>\n" );
document.write( "sin2t=0<BR>\n" );
document.write( "2t=0<BR>\n" );
document.write( "t=0<BR>\n" );
document.write( "or<BR>\n" );
document.write( "2+(1/cos2t)=0<BR>\n" );
document.write( "1/cos2t=-2<BR>\n" );
document.write( "cos2t=-1/2<BR>\n" );
document.write( "2t=2&#960;/3, 4&#960;/3 (In Q2 and Q3 in which cos<0)<BR>\n" );
document.write( "t=&#960;/3, 2&#960;/3 </SPAN>\n" );
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