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If $[\cot^{- 1} x] + [\cos^{- 1} x] = 0$ where $x$ is non – negative real number and [.] denotes the greatest integer function, then complete set of value of $x$ is

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(cos 1, 1]

(Cos 1, cot 1)

(cot 1, 1]

(0, cos 1)

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Correct option is C

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If [cot−1x]+[cos−1x]=0 where x is non – negative real number and [.] denotes the greatest integer function, then complete set of value of x is

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If $[\cot^{- 1} x] + [\cos^{- 1} x] = 0$ where $x$ is non – negative real number and [.] denotes the greatest integer function, then complete set of value of $x$ is