document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=681586>Question 681586</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the domain of the trigonometric function f(x)=cot(3x+6)?  </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #422697 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=422697\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the domain of the trigonometric function f(x)=cot(3x+6)? <BR>\n" );
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document.write( "Since cot = x/y , it has vertical asymptotes when the angle is 0+-n(pi)<BR>\n" );
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document.write( "Solve 3x+6 = +-n(pi)<BR>\n" );
document.write( "3x = +-npi-6<BR>\n" );
document.write( "x = +-(n/3)pi -2<BR>\n" );
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document.write( "Domain: All Real Numbers except x = +-(n/3)pi-2<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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