Evaluate: `cos(sec^(-1)x+"c o s e c"^(-1)x)` , `|x|geq1`

Explanation

To evaluate the expression \( \cos(\sec^{-1} x + \csc^{-1} x) \) for \( |x| \geq 1 \), we can follow these steps:

### Step 1: Understand the Inverse Functions
We start by recognizing the definitions of the inverse trigonometric functions involved:
- \( \sec^{-1} x \) is the angle \( \theta \) such that \( \sec \theta = x \).
- \( \csc^{-1} x \) is the angle \( \phi \) such that \( \csc \phi = x \).

### Step 2: Use the Identity
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