Find the principal value of: `cose c^(-1)(2)`

Explanation

To find the principal value of \( \text{cosec}^{-1}(2) \), we can follow these steps:

### Step 1: Understand the definition of cosecant inverse
The cosecant inverse function, \( \text{cosec}^{-1}(x) \), is defined for \( x \geq 1 \) or \( x \leq -1 \). This means that \( \text{cosec}^{-1}(2) \) is valid since \( 2 \geq 1 \).

**Hint:** Remember that the cosecant function is the reciprocal of the sine function.

### Step 2: Set up the equation
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