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Math Help - help with inverse tangent

  1. #1
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    help with inverse tangent

    Which value of a will make this true?

    -2w = -arctan( w / a) ?
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  2. #2
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    Re: help with inverse tangent

    Quote Originally Posted by hashshashin715 View Post
    Which value of a will make this true?

    -2w = -arctan( w / a) ?
    where did this equation come from?
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  3. #3
    Member sbhatnagar's Avatar
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    Re: help with inverse tangent

    \begin{align*}-2w &=-\tan^{-1}{\left( w \over a  \right)} \\2w &=\tan^{-1}{\left( w \over a  \right)}\\ \tan(2w) &= \frac{w}{a} \\ a &=w \cdot \cot(2w) \end{align*}

    The equation is true for a=w\cdot \cot{(2w)}.
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