Calculate $\prod_{n=2}^\infty\bigg(1-\frac1{n^2}\bigg)$ [duplicate]

How do you compute $\prod_{n=2}^\infty\bigg(1-\frac1{n^2}\bigg)$
Hint. This may be seen as a telescoping product using $$1-\frac1{n^2}=\frac{n-1}{n} \cdot \frac{n+1}{n}, \qquad n\ge2.$$ Hope you can finish it.