# How do you find the value of csc^-1(-1)?

Nov 29, 2015

$\theta = - {90}^{\circ} \left({270}^{\circ}\right)$

#### Explanation:

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

$\csc \theta = - 1$

$\frac{1}{\sin} \theta = - 1$

$\sin \theta = \frac{1}{-} 1$

$\sin \theta = - 1$

$\theta = {\sin}^{-} 1 \left(- 1\right)$

$\theta = - {90}^{\circ} \left({270}^{\circ}\right)$