If `cos e c^(-1)x+cos e c^(-1)y+cos e c^(-1)z=-(3pi)/2,` find the value of `x/y+y/z+z/xdot`

Explanation

To solve the problem, we start with the equation given:

\[ \cos(\cos^{-1} x) + \cos(\cos^{-1} y) + \cos(\cos^{-1} z) = -\frac{3\pi}{2} \]

### Step 1: Understand the Inverse Cosine Function
We know that:
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