document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236032>Question 236032</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Use the fact that the trigonometric functions are periodic to find the exact value of each expression. Do not use a calculator.\r<BR>\n" );
document.write( "\n" );
document.write( "cos 33pi\4. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173862 by </B><A HREF=/tutors/aboutme.mpl?userid=Alan3354><B>Alan3354(69443)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Alan3354><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/cgi-bin/show-face.mpl?user=Alan3354><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173862\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> cos 33pi\4.<BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "32pi/4 = 8pi which is 4 revolutions.  Subtract that.<BR>\n" );
document.write( "--> cos(pi/4) = sqrt(2)/2<BR>\n" );
document.write( "I didn't use a calculator, I know that one.<BR>\n" );
document.write( "It's 1/8 of a revolution, or 45º.<BR>\n" );
document.write( "If you plot it on a unit circle, x and y are equal, and r is x*sqrt(2)<BR>\n" );
document.write( "cos = x/r = sqrt(2)/2<BR>\n" );
document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );