Which value of a will make this true?

-2w = -arctan( w / a) ?

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- Dec 15th 2011, 05:13 PMhashshashin715help with inverse tangent
Which value of a will make this true?

-2w = -arctan( w / a) ? - Dec 15th 2011, 06:00 PMskeeterRe: help with inverse tangent
- Dec 18th 2011, 05:58 AMsbhatnagarRe: help with inverse tangent
$\displaystyle \begin{align*}-2w &=-\tan^{-1}{\left( w \over a \right)} \\2w &=\tan^{-1}{\left( w \over a \right)}\\ \tan(2w) &= \frac{w}{a} \\ a &=w \cdot \cot(2w) \end{align*}$

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