Find the value of $\cot \left(\tan ^{-1} a+\cot ^{-1} a\right)$
$\cot \left(\tan ^{-1} a+\cot ^{-1} a\right)$
$=\cot \left(\frac{\pi}{2}\right) \quad\left[\tan ^{-1} x+\cot ^{-1} x=\frac{\pi}{2}\right]$
$=0$
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