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The solution set of the equation $\tan^{- 1} x - \cot^{- 1} x =$ $\cos^{- 1} (2 - x)$ is

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Correct option is C

tan−1⁡x and cot−1⁡x exist for all x∈Rcos−1⁡(2−x) exists if −1≤2−x≤1i.e.1≤x≤3So, the given equation holds for 1≤x≤3

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The solution set of the equation tan−1⁡x−cot−1⁡x=cos−1⁡(2−x) is

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The solution set of the equation $\tan^{- 1} x - \cot^{- 1} x =$ $\cos^{- 1} (2 - x)$ is