If cos ^-1x + cos ^-1y + cos ^-1z = pi , then prove that x^2 + y^2 + z^2 + 2xyz = 1 Inverse Trigo

If cos ^-1x + cos ^-1y + cos ^-1z = pi , then prove that x^2 + y^2 + z^2 + 2xyz = 1 Inverse Trigo

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