Does this work with a 1st Generation ITouch?

I'd like to use this cable to play my 1st Generation ITouch through the speakers in my Rover Sport. I used a different brand of cable for my daughter's IPOD and it worked for hers but not my ITouch. Will this brand work?

Monster iCable 800 for iPhone and iPod

Monster iCable 800 for iPhone and iPod

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