document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=786565>Question 786565</A>: <I><SPAN STYLE=\"word-break: break-all;\"> tan x + &#8730;3= 0 &#8594; tan x =&#8722;&#8730;3<BR>\n" );
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document.write( " The term tan x is now isolated in the equation. Find a particular solution on the interval (0, &#960;).<BR>\n" );
document.write( "x =2&#960;/3   , 0 < x < &#960;\r<BR>\n" );
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document.write( "On (-Infiniti, infiniti ), there are an infinite number of solutions. Write the general form of the solution. Your answer should be exact. (Use n as an integer constant. Enter your response in radians.)\r<BR>\n" );
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document.write( "x=??????????? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #477907 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=477907\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> The tan is negative in the 2nd and 4th quadrants.<BR>\n" );
document.write( "Between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+0+ ALIGN=MIDDLE  ALT=\"+0+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Api+ ALIGN=MIDDLE  ALT=\"+2%2Api+\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians, the solutions<BR>\n" );
document.write( "are <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%282%2Api%29%2F3+ ALIGN=MIDDLE  ALT=\"+x+=+%282%2Api%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28+5%2Api%29%2F3+ ALIGN=MIDDLE  ALT=\"+x+=+%28+5%2Api%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "At both these angles, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+tan%28x%29+=+-sqrt%283%29+%2F+1+ ALIGN=MIDDLE  ALT=\"+tan%28x%29+=+-sqrt%283%29+%2F+1+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "Now you have to go to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Api+%2B+%282%2Api%29%2F3+=+%288%2Api%29%2F3+ ALIGN=MIDDLE  ALT=\"+2%2Api+%2B+%282%2Api%29%2F3+=+%288%2Api%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "and then to <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+2%2Api+%2B+%285%2Api%29%2F3++=+11%2Api%2F3+ ALIGN=MIDDLE  ALT=\"+2%2Api+%2B+%285%2Api%29%2F3++=+11%2Api%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The progression is:<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%282%2Api%29%2F3+ ALIGN=MIDDLE  ALT=\"+%282%2Api%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%285%2Api%29%2F3+ ALIGN=MIDDLE  ALT=\"+%285%2Api%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%288%2Api%29%2F3+ ALIGN=MIDDLE  ALT=\"+%288%2Api%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+%2811%2Api%29%2F3+ ALIGN=MIDDLE  ALT=\"+%2811%2Api%29%2F3+\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
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document.write( "The general formula would be<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=+x+=+%28%28+2+%2B+3n+%29%2Api%29+%2F+3+ ALIGN=MIDDLE  ALT=\"+x+=+%28%28+2+%2B+3n+%29%2Api%29+%2F+3+\"   DISABLED_style= \"max-width:90%; height:auto;\" > ( n = 0,1,2... )\r<BR>\n" );
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