If cos-1x - cos-1y - cos-1z - 3- then the value of xy-yz-zx -

As nbsp;we nbsp;know nbsp;that nbsp;cos 1 nbsp;function nbsp;is nbsp;in nbsp;range nbsp;0, nbsp;π.Hence nbsp;from nbsp;the nbsp;equati ...

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Inverse Function

If cos-1x + c...

Question

$If {cos}^{- 1} x + {cos}^{- 1} y + {cos}^{- 1} z = 3 π,$ then the value of $x y + y z + z x$ =

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c o s^{- 1} x + c o s^{- 1} y + c o s^{- 1} z = 3 π t h e n x^{2} + y^{2} + z^{2} - x y - y z - z x

{cos}^{- 1} x + {cos}^{- 1} y + {cos}^{- 1} z = 3 π

\sum x y

{sec}^{- 1} x + {sec}^{- 1} y + {sec}^{- 1} z = 3 π

x y + y z + z x =

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π / 2

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