document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=293273>Question 293273</A>: <I><SPAN STYLE=\"word-break: break-all;\"> I am stuck on this problem where I need to solve for X.\r<BR>\n" );
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document.write( "(tan^-1) 2x= -pi/6  \r<BR>\n" );
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document.write( "If anyone could help it would be much appreciated! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #211724 by </B><A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><B>jim_thompson5910(35256)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=jim_thompson5910><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=211724\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE \tan^{-1}(2x)=-\frac{\pi}{6}\"> ... Start with the given equation.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x=\tan\left(-\frac{\pi}{6}\right)\"> ... Take the tangent of both sides to eliminate the inverse tangent.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x=\frac{\sin\left(-\frac{\pi}{6}\right)}{\cos\left(-\frac{\pi}{6}\right)}\"> ... Break up the tangent into sine over cosine \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x=\frac{-\frac{1}{2}}{\cos\left(-\frac{\pi}{6}\right)}\"> ... Evaluate the sine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-pi%2F6 ALIGN=MIDDLE  ALT=\"-pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-1%2F2 ALIGN=MIDDLE  ALT=\"-1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x=\frac{-\frac{1}{2}}{\frac{\sqrt{3}}{2}}\"> ... Evaluate the cosine of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-pi%2F6 ALIGN=MIDDLE  ALT=\"-pi%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" > to get <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29%2F2 ALIGN=MIDDLE  ALT=\"sqrt%283%29%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x=\left(-\frac{1}{2}\right)\left(\frac{2}{\sqrt{3}}\right)\"> ... Multiply the first fraction by the reciprocal of the second fraction.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x=-\frac{1}{\sqrt{3}}\"> ... Multiply and simplify\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE 2x=-\frac{\sqrt{3}}{3}\"> ... Rationalize the denominator of the fraction on the right side.\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=\"/cgi-bin/rendertex.cgi?\LARGE x=-\frac{\sqrt{3}}{6}\"> ... Divide both sides by 2. \r<BR>\n" );
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document.write( "So the solution is <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=-sqrt%283%29%2F6 ALIGN=MIDDLE  ALT=\"x=-sqrt%283%29%2F6\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "Edit: Take note that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-sqrt%283%29%2F6=-1%2F%282%2Asqrt%283%29%29 ALIGN=MIDDLE  ALT=\"-sqrt%283%29%2F6=-1%2F%282%2Asqrt%283%29%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > (just do a bit of algebraic manipulation) </SPAN>\n" );
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