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Best Answer: You're wrong about what the arctan function is. arctan is that function that answers the question, What angle theta yields the tan (theta) = x? arctan 0 = 0 because the tan 0 = sin 0 / cos 0 = 0/1 = 0.
Another notation is tan-1(x) to show that it is the inverse function, so long as this is not confused with 1/tan(x) which must then be written as (tan(x)) -1. Because of this confusion, some mathematical authors prefer the atan or arctan notation, which is what we shall use on this page.