document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=454530>Question 454530</A>: <I><SPAN STYLE=\"word-break: break-all;\"> How do you express functions in terms of the same function which has a positive acute angle. </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #312518 by </B><A HREF=/tutors/aboutme.mpl?userid=stanbon><B>stanbon(75887)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=stanbon><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=312518\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> How do you express functions in terms of the same function which has a positive acute angle.<BR>\n" );
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document.write( "You need a reference angle, <BR>\n" );
document.write( "and you need the sign of <BR>\n" );
document.write( "the original function.<BR>\n" );
document.write( "----<BR>\n" );
document.write( "Example:<BR>\n" );
document.write( "sin(220 degrees)<BR>\n" );
document.write( "--<BR>\n" );
document.write( "The sign is negative because sin is negative in the 3rd Quadrant.<BR>\n" );
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document.write( "The reference angle is the acute angle between the terminal side<BR>\n" );
document.write( "of 220 degrees and the closest segment of the x-axis.<BR>\n" );
document.write( "That angle is 220-180 = 40 degrees.<BR>\n" );
document.write( "---<BR>\n" );
document.write( "So sin(220) = -sin(40)<BR>\n" );
document.write( "=============================<BR>\n" );
document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );