document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=715619>Question 715619</A>: <I><SPAN STYLE=\"word-break: break-all;\"> what is the smallest positive number for t?<BR>\n" );
document.write( "sin(t)+cos(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 #439586 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=439586\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the smallest positive number for t?<BR>\n" );
document.write( "sin(t)+cos(2t)=0<BR>\n" );
document.write( "sint+cos^2t-sin^2t=0<BR>\n" );
document.write( "sint+1-sin^2t-sin^2t=0<BR>\n" );
document.write( "2sin^2t-sint-1=0<BR>\n" );
document.write( "(2sint+1)(sint-1)=0<BR>\n" );
document.write( "sint-1=0<BR>\n" );
document.write( "sint=1<BR>\n" );
document.write( "t=&#960;/2<BR>\n" );
document.write( "or<BR>\n" );
document.write( "2sint+1=0<BR>\n" );
document.write( "sint=-1/2<BR>\n" );
document.write( "t=7&#960;/4<BR>\n" );
document.write( "..<BR>\n" );
document.write( "smallest positive number for t=&#960;/2 </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );