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If , show that
If $\sin^{-1} x + \sin^{-1} y + \sin^{-1} z = \pi$, show that $x^2 - y^2 - z^2 + 2yz\sqrt{1 - x^2} = 0$
Given: $\sin^{-1} x + \sin^{-1} y + \sin^{-1} z = \pi$
To show: $x^2 - y^2 - z^2 + 2yz\sqrt{1 - x^2} = 0$
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From ISC 2024 Mathematics Paper 1, question 8(ii).