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# Find the values of each of the following: 12. cot (tan inverse a + cot inverse a)

Find the values of each of the following:

12. $\cot(\tan^{-1}a + \cot^{-1}a)$

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We have to find the value of   $\cot(\tan^{-1}a + \cot^{-1}a)$

As we know $\left [\because \tan^{-1}x + \cot^{-1} x = \frac{\pi}{2} \right ]$   so,

Equation reduces to $\cot(\frac{\pi}{2}) = 0$.

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