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Math Help - tan equation

  1. #1
    Newbie
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    tan equation

    Ok so heres the question, il put it into a picture to help better
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  2. #2
    Senior Member JaneBennet's Avatar
    Joined
    Dec 2007
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    293
    \begin{array}{lrcl}<br />
{} & 3\tan^3{x}-\tan{x} &=& 0\\\\<br />
\Rightarrow & (3\tan^2{x}-1)\tan{x} &=& 0\\\\<br />
\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.
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