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Thanks guys you helped solve my issue on here I'm just getting a wrong answer still with my online grading system, must mean i have a fault in my formula or they have a fault in their answer.
That makes total sense, coming from different programming languages this is the first time I've seen a function reduced without telling the program to do so. I understand it but nevertheless find it interesting.
This definitely works for getting the form to hold and for whatever reason im still getting an incorrect answer leading me to believe it is either a fault in my formula or the online grading system.
@bills Why is this correct? I'm assuming its utilizing trig identities but technically I would assume the output of r[t] should be {Cos[-t],Sin[-t],4t}