document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=1034110>Question 1034110</A>: <I><SPAN STYLE=\"word-break: break-all;\"> square root of 3(tan1/3t)=1 </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #648742 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=648742\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> sqrt(3 * (tan(1/3 * t)) = 1<BR>\n" );
document.write( "square both sides of the equation to get 3 * tan(1/3 * t) = 1.<BR>\n" );
document.write( "divide both sides of this equation by 3 to get tan(1/3 * t) = 1/3.<BR>\n" );
document.write( "solve for 1/3 * t to get 1/3 * t = arctan(1/3) = 18.43494882 degrees.<BR>\n" );
document.write( "multiply both sides of this equation by 3 to get t = 55.30404647 degrees.\r<BR>\n" );
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document.write( "original equation becomes sqrt(3 * (tan(1/3 * 55.30404647)) = 1<BR>\n" );
document.write( "evaluate the equation to get 1 = 1.\r<BR>\n" );
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document.write( "this confirms the solution is correct.\r<BR>\n" );
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document.write( "t = 55.30404647 degrees is your solution if you are solving for t.\r<BR>\n" );
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