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Column-I Column-II
A) $x \in [π, 2 π] \Rightarrow |\tan^{- 1} (\tan x)|$ can be P) $|x - 2 π|$
B) $x \in [π, 2 π] \Rightarrow |\cot^{- 1} (\cot x)|$ can be Q) $|x - π|$
C) $x \in [- π, π] \Rightarrow |\sin^{- 1} (\sin x)|$ R) $|x|$
D) $x \in [- π, π] \Rightarrow |\cos^{- 1} (\cos x)|$ S) $|x + π|$

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A-R, B-S, C-P, D-Q

A-PQ, B-P, C-QRS, D-R

A-Q, B-PR, C-S, D-R

A-PQ, B-PS, C-RS, D-R

answer is B.

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Detailed Solution

Refer to the graph of $y = \sin^{- 1} (\sin x)$

$y = \cos^{- 1} (\cos x), y = \tan^{- 1} (\tan x)$ and $y = \cot^{- 1} (\cot x)$ .
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