Answer each of the following questions in one word or one sentence or as per exact requirement of the question:

If , find the value of x.

Given cos (tan^{-1} x + cot^{-1} √3) = 0

⇒ cos (tan^{-1} x + cot^{-1} √3) = cos (π/2)

⇒ tan^{-1} x + cot^{-1} √3 = π/2

We know that tan^{-1} x + cot^{-1} x = π/2

∴ x = √3

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