Verify That Each Equation Is an Identity $$\sec ( 2 \theta ) = \frac { \csc ^ { 2 } \theta } { \csc ^ { 2 } \theta - 2 }$$

Verify that each equation is an identity.
- $$\sec ( 2 \theta ) = \frac { \csc ^ { 2 } \theta } { \csc ^ { 2 } \theta - 2 }$$