Verify the Identity Shown Below $$\frac { \sin ^ { 2 } \theta - 1 } { \cos ^ { 2 } \theta - 1 } = \csc ^ { 2 } \theta - 1$$

Verify the identity shown below.
$$\frac { \sin ^ { 2 } \theta - 1 } { \cos ^ { 2 } \theta - 1 } = \csc ^ { 2 } \theta - 1$$