Given \(y\left( n \right) = {\left[ {\frac{{\sin \left( {{\omega _c}n} \right)}}{{n\pi }}} \right]^2}\) , where 0 < ωc < π
The value of ωc such that, \(Y\left( {{e^{j\pi }}} \right) = \frac{1}{2}\) is
1
\(\frac{\pi }{4}\)
2
\(\frac{\pi }{2}\)
3
\(\pi\)
4
1