Find the values: ( ^ -1 a+ ^ -1 a ) - Vidyadip

Question

Find the values:
$\cot\left(\tan^{-1}a+\cot^{-1}a\right)$

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Answer

$\cot\left(\tan^{-1}a+\cot^{-1}a\right)=\cot\frac{\pi}{2}=0$ $\bigg[\because\tan^{-1}x+\cot^{-1}x=\frac{\pi}{2}\bigg]$

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