# tan equation

• December 20th 2007, 07:41 PM
zarlock99
tan equation
Ok so heres the question, il put it into a picturehttp://i46.photobucket.com/albums/f1...k99/BLAH-1.jpg to help better
• December 20th 2007, 09:01 PM
JaneBennet
$\begin{array}{lrcl}
{} & 3\tan^3{x}-\tan{x} &=& 0\\\\
\Rightarrow & (3\tan^2{x}-1)\tan{x} &=& 0\\\\
\end{array}$

$\Rightarrow\ 3\tan^2{x}-1=0\ \mbox{ or }\tan{x}=0$

$\Rightarrow\ \tan{x}=\pm\frac{1}{\sqrt{3}}\ \mbox{ or }\tan{x}=0$

Now you carry on from there.