document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=439483>Question 439483</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Good morning!<BR>\n" );
document.write( "Alas... in need of help on a very simple problem.\r<BR>\n" );
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document.write( "tan^2(3x) = 3<BR>\n" );
document.write( "I am unsure of where exactly to start on this problem. Have applied the trig identity for tan^2(x) which is (1-cos2x)/(1+cos2x) but am not sure if that is the correct way to go. Please break down and explain!\r<BR>\n" );
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document.write( "Thank you! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #303728 by </B><A HREF=/tutors/aboutme.mpl?userid=Gogonati><B>Gogonati(855)</B></A><img src=\"/images/stars/stars-11.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Gogonati><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=Gogonati><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=303728\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=%28tan%283x%29%29%5E2=3 ALIGN=MIDDLE  ALT=\"%28tan%283x%29%29%5E2=3\"   DISABLED_style= \"max-width:90%; height:auto;\" > is a trigonometric equation.Taking the square root of both \r<BR>\n" );
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document.write( "sides of the equation, we have two equivalent equations: \r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%283x%29=sqrt%283%29 ALIGN=MIDDLE  ALT=\"tan%283x%29=sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >,(1) and, <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%283x%29=-sqrt%283%29 ALIGN=MIDDLE  ALT=\"tan%283x%29=-sqrt%283%29\"   DISABLED_style= \"max-width:90%; height:auto;\" >, (2).\r<BR>\n" );
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document.write( "As you know the function tan(x) is periodic function with period <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" >.\r<BR>\n" );
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document.write( "Solving each of them we have:<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=n%2Api%2B%28pi%29%2F3 ALIGN=MIDDLE  ALT=\"3x=n%2Api%2B%28pi%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" >=> <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=n%2Api%2B%28pi%29%2F9 ALIGN=MIDDLE  ALT=\"x=n%2Api%2B%28pi%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=n%2Api%2B%284%2Api%29%2F9 ALIGN=MIDDLE  ALT=\"x=n%2Api%2B%284%2Api%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >, for equation (1).\r<BR>\n" );
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document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=3x=n%2Api-%28pi%29%2F3 ALIGN=MIDDLE  ALT=\"3x=n%2Api-%28pi%29%2F3\"   DISABLED_style= \"max-width:90%; height:auto;\" > => <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=n%2Api-%28pi%29%2F9 ALIGN=MIDDLE  ALT=\"x=n%2Api-%28pi%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=n%2Api-%282%2Api%29%2F9 ALIGN=MIDDLE  ALT=\"x=n%2Api-%282%2Api%29%2F9\"   DISABLED_style= \"max-width:90%; height:auto;\" >\r<BR>\n" );
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document.write( "for equation (2) </SPAN>\n" );
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