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

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[0, 1]

[– 1, 1]

[1, 3]

none of these

answer is C.

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Detailed Solution

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

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