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.

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

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