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 , then find x.

Philoid · Accepted Answer

Given sin^-1 (1/3) + cos^-1 x = π/2

⇒ sin^-1 (1/3) = π/2 – cos^-1 x

We know that sin^-1 x + cos^-1 x = π/2

⇒ sin^-1 (1/3) = sin^-1 x

∴ x = 1/3