Infinity question

infinity is divisible by 360 (I hope because infinity over anything = infinity), tan(360) = 0, therefore tan(infinity) = 0

But using Max's reasoning we could also say that  infinity = 360n + 10 (say), where n is infinitely large integer (because, if you add a finite number to infinity you still get infinity),

and, since tan(360n + 10) = tan(10) when n is an integer, we would have tan(infinity) = tan(10) = 0.176

Repeat with any other number replacing the 10 above and you could get any number you like for tan(infinity)!!

tan(infinity) is undefined.