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Question Bank [2022] — Maths STD 12 Science — Question

Maharashtra BoardEnglish MediumSTD 12 ScienceMathsQuestion Bank [2022]1 Mark
Question
Evaluate $\cot(\tan^{−1}(2x) + \cot^{−1}(2x))$
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Answer

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

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