document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=66173>Question 66173</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Could you help me with this problem?\r<BR>\n" );
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document.write( "What is the period and graph of y=2 cot(x+ pie over 2)?\r<BR>\n" );
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document.write( "Thank you very much for your help!\r<BR>\n" );
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document.write( "Sarah McGuire </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #46900 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=46900\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> What is the period and graph of y=2 cot(x+ pie over 2)?<BR>\n" );
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document.write( "Form: y=acot(bx+c)+d<BR>\n" );
document.write( "a=2, b=1, c=pi/2, <BR>\n" );
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document.write( "Period = pi/b=pi=180 degrees<BR>\n" );
document.write( "Phase Shift = -c/b= -pi/2=-45 degrees<BR>\n" );
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document.write( "Cannot graph functions like this on this site.<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=graph%28600%2C400%2C-360%2C360%2C-3%2C3%2C2cot%28x%2B90%29%29 ALIGN=MIDDLE  ALT=\"graph%28600%2C400%2C-360%2C360%2C-3%2C3%2C2cot%28x%2B90%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "Vertical asymptotes occur at x=-pi/2=-45 degrees<BR>\n" );
document.write( "and +pi/2=45 degrees.<BR>\n" );
document.write( "Remember, cot is a decreasing function.\r<BR>\n" );
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document.write( "Cheers,<BR>\n" );
document.write( "Stan H. </SPAN>\n" );
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