Inverse Fourier transform of signal
$$X(j \omega) = 2 \pi \delta (\omega) + \pi \delta (\omega - 4 \pi )+ \pi \delta (\omega + 4 \pi )$$

A

$$1 + \cos 4 \pi t$$

B

$$\pi( 1 - \cos 4 \pi t)$$

C

$$2 \pi( 1 - \cos 4 \pi t)$$

D

$$2 \pi(1 + \cos 4 \pi t)$$