If $\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi$, then

JEE MATHEMATICS MCQ: INVERSE TRIGONOMETRY

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Application +4 | -1

\cos ^{-1} x+\cos ^{-1} y+\cos ^{-1} z=\pi

, then

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Correct option: B

x^2+y^2+z^2+2 x y z=1

Option B (

x^2+y^2+z^2+2xyz=1

) is correct because using the identity

\cos^{-1} x + \cos^{-1} y + \cos^{-1} z = \pi

and simplifying the expression leads to the correct equation.

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