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  4. Domain of the function f ( x )=(1/√ ln cot -1 x ) is

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Q. Domain of the function $f ( x )=\frac{1}{\sqrt{\ln \cot ^{-1} x }}$ is

Inverse Trigonometric Functions

Solution:

$\ln \left(\cot ^{-1} x\right)>0$
$\cot ^{-1} x>1 $
$x<\cot 1 $
$\therefore \text { domain }(-\infty, \cot 1)$

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