Auto-correlation of a sinusoid $$s(t) = A \sin(\omega t)$$ is

A

$$(\frac{A^{2}}{2}) \sin(\omega \tau)$$

B

$$(\frac{A}{2}) \sin(\omega \tau)$$

C

$$(\frac{A^{2}}{2}) \cos(\omega \tau)$$

D

$$(\frac{A}{2}) \cos(\omega \tau)$$