document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=212348>Question 212348</A>This question is from textbook <A HREF=http://www.amazon.com/exec/obidos/ASIN/0137157800/algebrahomeworkh>Advanced Mathematics</A><BR>\n" );
document.write( ": <I><SPAN STYLE=\"word-break: break-all;\"> Find all angles t such that 3t is coterminal with 180 degrees and t is between 0 degrees and 360 degrees. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #160379 by </B><A HREF=/tutors/aboutme.mpl?userid=HyperBrain><B>HyperBrain(694)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=HyperBrain><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=160379\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> I shall use modular arithmetic to solve this one.<BR>\n" );
document.write( "An angle x is coterminal with 180 degrees if and only if when if is divided by 360, the remainder is 180.<BR>\n" );
document.write( "So,<BR>\n" );
document.write( "3t=180 (mod 360)<BR>\n" );
document.write( "t=60 (mod 360)<BR>\n" );
document.write( "---<BR>\n" );
document.write( "This is the general modular solution.<BR>\n" );
document.write( "Algebraically,<BR>\n" );
document.write( "t=360k+60<BR>\n" );
document.write( "for all integer values of k </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );