In a linear system, an input of $$5 \sin \omega t$$ produces an output of $$10 \cos \omega t$$. The output corresponding to input $$10 \cos \omega t$$ will be equal to:

A

$$+ 5 \sin \omega t$$

B

$$- 5 \sin \omega t$$

C

$$+ 20 \sin \omega t$$

D

$$- 20 \sin \omega t$$