Problem

Problem

If sin⁡−1x+sin⁡−1y+sin⁡−1z=π\sin^{-1} x + \sin^{-1} y + \sin^{-1} z = \pi , prove that x1−x2+y1−y2+z1−z2=2xyzx\sqrt{1-x^2} + y\sqrt{1-y^2} + z\sqrt{1-z^2} = 2xyz .

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