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 write the value f x + y + z.

Philoid · Accepted Answer

Given sin^-1 x + sin^-1 y + sin^-1 z = 3π/2

We know that maximum and minimum values of sin^-1 x are π/2 and –π/2 respectively.

⇒ sin^-1 x + sin^-1 y + sin^-1 z = π/2 + π/2 + π/2

⇒ sin^-1 x = π/2, sin^-1 y = π/2, sin^-1 z = π/2

⇒ x = 1, y = 1, z = 1

⇒ x + y + z = 1 + 1 + 1 = 3

∴ x + y + z = 3

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:If , then write the value f x + y + z.

Answer each of the following questions in one word or one sentence or as per exact requirement of the question:
If , then write the value f x + y + z.