document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=689854>Question 689854</A>: <I><SPAN STYLE=\"word-break: break-all;\"> To whom it may concern,<BR>\n" );
document.write( "what is the relationship between cotangent theta and cotangent NEGATIVE theta? Can you please give me 7 or 10 examples to work with. I really need to learn this immediately for an upcoming exam. Please reply ASAP. A thousand thank yous won't be enough.                                                <BR>\n" );
document.write( "                                                            -Lex<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #426293 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=426293\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> what is the relationship between cotangent theta and cotangent NEGATIVE theta?<BR>\n" );
document.write( "cot(x)=-cot(-x) (this is called an odd function, compared to an even function)<BR>\n" );
document.write( "Examples:<BR>\n" );
document.write( "pick angle of 45º in quadrant I<BR>\n" );
document.write( "this gives you a reference angle of 45º where cot 45º=1<BR>\n" );
document.write( "-45º will also give you a reference angle of 45º but in quadrant IV where cot -45=-1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "pick angle 135º in quadrant II<BR>\n" );
document.write( "this gives you a reference angle of 45º where cot135º=-1<BR>\n" );
document.write( "-135º will also give you a reference angle of 45º but in quadrant III where cot-135º=1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "pick angle 225º in quadrant III<BR>\n" );
document.write( "this gives you a reference angle of 45º where cot225º=1<BR>\n" );
document.write( "-225º will also give you a reference angle of 45º but in quadrant II where cot-225º=-1<BR>\n" );
document.write( "..<BR>\n" );
document.write( "note: I used a reference angle of 45º for the examples but this will hold true for any reference angle.<BR>\n" );
document.write( "This will also hold true for the tan function since cot is the reciprocal of tan.<BR>\n" );
document.write( "A negative angle means rotating in a clockwise direction and a positive angle in a counter-clockwise direction.The value for the trig functions and their reciprocals is computed from the reference angle and the sign depends on which of the 4 quadrants the angle is in. See if you can apply this method to the sin and cos functions.<BR>\n" );
document.write( "..<BR>\n" );
document.write( "Hope this helps! </SPAN>\n" );
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