What identity is used to show that $\displaystyle \Gamma \Big(\frac{1}{2} + \frac{in}{2} \Big) \ \Gamma \Big( \frac{1}{2} - \frac{in}{2} \Big) = \pi \ \text{sech} \Big(\frac{n \pi}{2}} \Big)$ ?

EDIT: Never mind. It's just an application of the reflection formula.