document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=549783>Question 549783</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Hello, I am trying to find the exact function value of: cotangent negative 17 pie over 3. I multipled 17 by 180 and divided that by three, but after that I'm not too sure what to do after that. Do I subtract 360? That was my next guess, but not too sure. Hoping you could help! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #358073 by </B><A HREF=/tutors/aboutme.mpl?userid=solver91311><B>solver91311(24713)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=solver91311><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=solver91311><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=358073\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <font face=\"Times New Roman\" size=\"+2\">\r<BR>\n" );
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document.write( "The tree you are barking up is not only the wrong tree, it is in the totally wrong part of the forest.\r<BR>\n" );
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document.write( "Let's begin again.\r<BR>\n" );
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document.write( "The periodicity of cotangent is <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \pi\">, hence <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \cot\left(\varphi\ +\ k\pi\right)\ =\ \cot\left(\varphi\right)\"> where <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large k\ \in\ \mathbb{Z}\">.  So let <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large k\ =\ 6\">, then:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \cot\left(-\frac{17\pi}{3}\ +\ \frac{18}{3}\pi\right)\ =\ \cot\left(\frac{\pi}{3}\right)\">\r<BR>\n" );
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document.write( "We also know that\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \cot\left(\vartheta\right)\ =\ \frac{\cos\left(\vartheta\right)}{\sin\left(\vartheta\right)}\">\r<BR>\n" );
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document.write( "Then, looking at the unit circle:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src=\"http://www.math.ucsd.edu/~jarmel/math4c/Unit_Circle_Angles.png\">\r<BR>\n" );
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document.write( "where we recall that the value of <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large cos\"> is the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large x\">-coordinate of the intersection of the terminal ray of the angle and the unit circle and the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \sin\"> is the <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large y\">-coordinate of the same point, we can determine:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \cos\left(\frac{\pi}{3}\ =\ \frac{1}{2}\right)\">\r<BR>\n" );
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document.write( "and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \sin\left(\frac{\pi}{3}\ =\ \frac{\sqrt{3}}{2}\right)\">\r<BR>\n" );
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document.write( "Divide and rationalize the denominator to obtain:\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \ \ \ \ \ \ \ \ \ \ \cot\left(-\frac{17\pi}{3}\right)\ =\ \cot\left(\frac{\pi}{3}\right)\ =\ \frac{\cos\left(\frac{\pi}{3}\right)}{\sin\left(\frac{\pi}{3}\right)}\ =\ \frac{\sqrt{3}}{3}\">\r<BR>\n" );
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document.write( "One more thing.  \"pie\" is a prepared food item consisting, generally, of a more or less flakey crust filled with some sort of sweet, often fruit based, filling in the case of pies created as a dessert course, or savory filling in the case of those created as either a main or side dish.  \"pi\" is the romanization of the lower case Greek alphabet character <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\Large \pi\"> representing the ratio of a circle's circumference to its diameter.\r<BR>\n" );
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document.write( "John<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE e^{i\pi} + 1 = 0\"><BR>\n" );
document.write( "My calculator said it, I believe it, that settles it<BR>\n" );
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