Inverse Dilemma

Geometry Level 3

\[ \large \begin{cases} \cos^{-1}x + \cos^{-1}y + \cos^{-1}z = 0 \\ \\ \sin^{-1}x + \cos^{-1} y + \tan^{-1} z = \ ? \end{cases} \]

Details:

  • \( -1 \leq x , y , z \leq 1 \)
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