document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=809378>Question 809378</A>: <I><SPAN STYLE=\"word-break: break-all;\"> Solve each equation for solutions over the interval [0,2pi).\r<BR>\n" );
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document.write( "2tanx - 1 = 0\r<BR>\n" );
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document.write( "I did x = tan^-1(1/2)but I did not get the right answer.  \r<BR>\n" );
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document.write( "Correct answer: {0.463647609,3.605240263}\r<BR>\n" );
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document.write( "Could you please explain how to solve this and these types of problems? I am having a really hard time understanding this.\r<BR>\n" );
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document.write( "Thanks! </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #487591 by </B><A HREF=/tutors/aboutme.mpl?userid=KMST><B>KMST(5328)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=KMST><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=KMST><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=487591\">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=2%2Atan%28x%29-+1+=+0 ALIGN=MIDDLE  ALT=\"2%2Atan%28x%29-+1+=+0\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=2%2Atan%28x%29=1 ALIGN=MIDDLE  ALT=\"2%2Atan%28x%29=1\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%29=1%2F2 ALIGN=MIDDLE  ALT=\"tan%28x%29=1%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" ><BR>\n" );
document.write( "The calculator would tell you that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E%28-1%29%280.5%29=0.463647609 ALIGN=MIDDLE  ALT=\"tan%5E%28-1%29%280.5%29=0.463647609\"   DISABLED_style= \"max-width:90%; height:auto;\" > in radians,<BR>\n" );
document.write( "or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%5E%28-1%29%280.5%29=26.56505118%5Eo ALIGN=MIDDLE  ALT=\"tan%5E%28-1%29%280.5%29=26.56505118%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > in degrees.<BR>\n" );
document.write( "That is because the inverse function of tangent is defined as the angle that has that tangent and is between <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-pi%2F2 ALIGN=MIDDLE  ALT=\"-pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi%2F2 ALIGN=MIDDLE  ALT=\"pi%2F2\"   DISABLED_style= \"max-width:90%; height:auto;\" > in radians,<BR>\n" );
document.write( "or between  <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=-90%5Eo ALIGN=MIDDLE  ALT=\"-90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > and <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=90%5Eo ALIGN=MIDDLE  ALT=\"90%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > in degrees.<BR>\n" );
document.write( "However, the function tangent has a period of <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=pi ALIGN=MIDDLE  ALT=\"pi\"   DISABLED_style= \"max-width:90%; height:auto;\" > radians (or <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=180%5Eo ALIGN=MIDDLE  ALT=\"180%5Eo\"   DISABLED_style= \"max-width:90%; height:auto;\" > in degrees.<BR>\n" );
document.write( "That means, in other words, that <IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=tan%28x%2Bpi%29=tan%28x%29 ALIGN=MIDDLE  ALT=\"tan%28x%2Bpi%29=tan%28x%29\"   DISABLED_style= \"max-width:90%; height:auto;\" > .<BR>\n" );
document.write( "That gives you the other solution,<BR>\n" );
document.write( "<IMG STYLE=\"max-width:80%;\" SRC=/cgi-bin/plot-formula.mpl?expression=x=0.463647609%2Bpi=3.605240263 ALIGN=MIDDLE  ALT=\"x=0.463647609%2Bpi=3.605240263\"   DISABLED_style= \"max-width:90%; height:auto;\" > </SPAN>\n" );
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