Find the principal value of ${cosec}^{-1}(-\sqrt{2})$

${\sin }^{-1}\left(-\frac{1}{\sqrt{2}}\right)$,

${\cos }^{-1}0$

${\tan }^{-1}\left(-1\right)$

${cosec}^{-1}2$,

${\sin }^{-1}\frac{3}{2}$

${\cot }^{-1}\left(-\frac{3}{2}\right)$,

${\sec }^{-1}\left(\frac{1}{2}\right)$,

${\cos }^{-1}\left(\frac{2.5}{3.9}\right)$,