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

Question

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.

Philoid · Accepted Answer

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