document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=665226>Question 665226</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What is the period of y=-tan2x? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #413714 by </B><A HREF=/tutors/aboutme.mpl?userid=josmiceli><B>josmiceli(19441)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=josmiceli><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=josmiceli><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=413714\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The period of the tangent function is<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi+ ALIGN=MIDDLE  ALT=\"+pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians. This would also be the<BR>\n" );
document.write( "period of the minus tangent function<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+0+ ALIGN=MIDDLE  ALT=\"+2x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+0+ ALIGN=MIDDLE  ALT=\"+x+=+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+pi+ ALIGN=MIDDLE  ALT=\"+2x+=+pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+pi%2F2+ ALIGN=MIDDLE  ALT=\"+x+=+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2x+=+2%2Api+ ALIGN=MIDDLE  ALT=\"+2x+=+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+pi+ ALIGN=MIDDLE  ALT=\"+x+=+pi+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "-------------<BR>\n" );
document.write( "From x=0 to x=pi/4,<BR>\n" );
document.write( "-tan(2x) = minus<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "from x=pi/4 to pi/2<BR>\n" );
document.write( "-tan(2x) = positive<BR>\n" );
document.write( "------------------<BR>\n" );
document.write( "from x=pi/2 to 3*pi/4<BR>\n" );
document.write( "-tan(2x) = minus<BR>\n" );
document.write( "-------------------<BR>\n" );
document.write( "from x= 3*pi/4 to pi<BR>\n" );
document.write( "-tan(2x) = positive<BR>\n" );
document.write( "-----------------<BR>\n" );
document.write( "So it takes <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x ALIGN=MIDDLE  ALT=\"x\"   DISABLED_style= \"max-width:90%; height:auto;\" > <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+pi%2F4+%2B+pi%2F4+=+pi%2F2+ ALIGN=MIDDLE  ALT=\"+pi%2F4+%2B+pi%2F4+=+pi%2F2+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "radians to make a complete period\r<BR>\n" );
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document.write( " </SPAN>\n" );
document.write( "</TD></TR></TABLE>\n" );