Let $$x(t)=rect(t-\frac{1}{2})$$ where $$rect(t) = 1$$ for $$\frac{-1}{2} \leq t \leq \frac{1}{2}$$ and Zero otherwise , then the Fourier Transform of $$x(t) + x(-t)$$ will be given by

A

$$sinc \left(\frac{\omega}{2}\right)$$

B

$$2 sinc \left(\frac{\omega}{2}\right)$$

C

$$2 sinc \left(\frac{\omega}{2}\right) \cos \left(\frac{\omega}{2}\right)$$

D

$$2 sinc \left(\frac{\omega}{2}\right) \sin \left(\frac{\omega}{2}\right)$$