document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=888406>Question 888406</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve [0<=x<=2pi]\r<BR>\n" );
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document.write( "(tanx+tan(pi/3))/(1-tanxtan(pi/3))=<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=sqrt%283%29 ALIGN=MIDDLE  ALT=\"sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #538549 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><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=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=538549\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> it appears the solution to this is x = 0 +/- pi.\r<BR>\n" );
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document.write( "tan(pi/3) is equal to sqrt(3).\r<BR>\n" );
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document.write( "you can confirm this using your calculator.\r<BR>\n" );
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document.write( "calculate tan(pi/3) and then square the answer.   you should get 3.\r<BR>\n" );
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document.write( "make sure your calculator is in radian mode.\r<BR>\n" );
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document.write( "your equation of:\r<BR>\n" );
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document.write( "(tan(x) + tan(pi/3))/(1 - tan(x) * tan(pi/3))= sqrt(3) becomes:\r<BR>\n" );
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document.write( "(tan(x) + sqrt(3)) / (1 - tan(x) * sqrt(3)) = sqrt(3)\r<BR>\n" );
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document.write( "multiply both sides of this equation by (1 - tan(x) * sqrt(3)) to get:\r<BR>\n" );
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document.write( "tan(x) + sqrt(3) = sqrt(3) * (1 - tan(x) * sqrt(3))\r<BR>\n" );
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document.write( "simplify to get:\r<BR>\n" );
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document.write( "tan(x) + sqrt(3) = sqrt(3) - 3 * tan(x)\r<BR>\n" );
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document.write( "add 3 * tan(x) to both sides of the equation and subtract sqrt(3) from both sides of the equation to get:\r<BR>\n" );
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document.write( "4 * tan(x) = 0\r<BR>\n" );
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document.write( "divide both sides of the equation by 4 to get:\r<BR>\n" );
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document.write( "tan(x) = 0\r<BR>\n" );
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document.write( "tan(x) is equal to 0 when x = 0  +/- pi * k where k is equal to any non-negative integer.\r<BR>\n" );
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document.write( "the following graph shows you a picture of the 2 equations and the points where they intersect.\r<BR>\n" );
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document.write( "their intersections is the solution.\r<BR>\n" );
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document.write( "one of the equations is y = sqrt(3).\r<BR>\n" );
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document.write( "the other of the equations is y = (tan(x) + tan(pi/3))/(1 - tan(x) * tan(pi/3))\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" src = \"http://theo.x10hosting.com/2014/072901.jpg\" alt=\"$$$\" </>\r<BR>\n" );
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document.write( " </SPAN>\n" );
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