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