document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=496098>Question 496098</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Find the solutions 18cot2x - 6 = 0 in the interval from 0 to two pi inclusive.<BR>\n" );
document.write( "a) pi/3, 2pi/3, 4pi/3, 5pi/3<BR>\n" );
document.write( "b) pi/4, 3pi/4, 5pi/4, 7pi/4<BR>\n" );
document.write( "c) pi/6, 5pi/6, 7pi/6, 11pi/6<BR>\n" );
document.write( "d) pi/4, pi/2, 2pi/3, 5pi/6 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #336358 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=336358\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> Find the solutions 18cot2x - 6 = 0 in the interval from 0 to two pi inclusive.<BR>\n" );
document.write( "a) pi/3, 2pi/3, 4pi/3, 5pi/3<BR>\n" );
document.write( "b) pi/4, 3pi/4, 5pi/4, 7pi/4<BR>\n" );
document.write( "c) pi/6, 5pi/6, 7pi/6, 11pi/6<BR>\n" );
document.write( "d) pi/4, pi/2, 2pi/3, 5pi/6<BR>\n" );
document.write( "**<BR>\n" );
document.write( "18cot^2x - 6 = 0<BR>\n" );
document.write( "18cot^2x=6<BR>\n" );
document.write( "cot^2x=6/18=1/3<BR>\n" );
document.write( "cotx=1/&#8730;3=&#8730;3/3<BR>\n" );
document.write( "ans:<BR>\n" );
document.write( "x=&#960;/3 and 4&#960;/3 (does not include 2&#960;/3 and 5&#960;/3 because cot is negative in these quadrants)<BR>\n" );
document.write( "none of given answers completely correct, answer (a) only half correct. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );