Write the value of `sin^-1(sin1550^@)`

Explanation

To solve the problem \( \sin^{-1}(\sin 1550^\circ) \), we need to find the equivalent angle of \( 1550^\circ \) that lies within the range of the inverse sine function, which is \([-90^\circ, 90^\circ]\) or \([- \frac{\pi}{2}, \frac{\pi}{2}]\).

### Step-by-step Solution:

1. **Convert \( 1550^\circ \) to a standard angle:**
Since \( 1550^\circ \) is greater than \( 360^\circ \), we can subtract \( 360^\circ \) multiple times until we get an angle within the first full rotation (0° to 360°).
\[
1550^\circ - 4 \times 360^\circ = 1550^\circ - 1440^\circ = 110^\circ
...