document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=598457>Question 598457</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find all the solutions t in the interval (0, 2pi) to the equation<BR>\n" );
document.write( " sin (2t) = sqare root 2 cos (t) </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #378588 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=378588\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find all the solutions t in the interval (0, 2pi) to the equation<BR>\n" );
document.write( "sin (2t) = sqare root 2 cos (t)<BR>\n" );
document.write( "2sintcost=&#8730;2cost<BR>\n" );
document.write( "2sintcost-&#8730;2cost=0<BR>\n" );
document.write( "cost(2sint-&#8730;2)=0<BR>\n" );
document.write( "cost=0<BR>\n" );
document.write( "t=&#960;/2 and 3&#960;/2<BR>\n" );
document.write( "or<BR>\n" );
document.write( "2sint-&#8730;2=0<BR>\n" );
document.write( "sint=&#8730;2/2<BR>\n" );
document.write( "t=&#960;/4 and 3&#960;/4 (in quadrants I and II where sin>0)<BR>\n" );
document.write( "..<BR>\n" );
document.write( "solutions: &#960;/4, &#960;/2, 3&#960;/4 and 3&#960;/2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );