Mathematics Trigonometry Trigonometric Functions

Let sin^-1x + sin^-1y + sin^-1z = \(\frac{3\pi}{2}\) for 0 ≤ x, y z ≤ 1. What is the value of x¹⁰⁰⁰ + y¹⁰⁰¹ + z¹⁰⁰²?

1

0

2

1

3

3

4

6

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