Evaluate each of the following:

(i)`sin^(-1)(sin12)`

(ii) `sin^(-1)(sin2)`

Explanation

To evaluate the expressions \( \sin^{-1}(\sin 12) \) and \( \sin^{-1}(\sin 2) \), we need to understand the properties of the inverse sine function and its range.

### Step-by-Step Solution:

#### Part (i): Evaluate \( \sin^{-1}(\sin 12) \)

1. **Identify the Range of \( \sin^{-1} \)**:
The function \( \sin^{-1}(x) \) is defined for \( x \) in the range \([-1, 1]\) and its output (the angle) is in the range \([- \frac{\pi}{2}, \frac{\pi}{2}]\).
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