Which of the following is the principal value branch of cosec−1x ?

1
\(\left(\frac{−\pi}{2},\frac{\pi}{2}\right)\)
2
[0, π] − \(\left\{\frac{\pi}{2}\right\}\)
3
\(\left[\frac{−\pi}{2},\frac{\pi}{2}\right]\)
4
\(​\left[\frac{−\pi}{2},\frac{\pi}{2}\right]\) − {0}

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