How many possible values for y are there where y =arctan3 ?
A. 1
B. 0
C. 2
D. Infinite

Question

How many possible values for y are there where y =arctan3 ?
  		A. 	1
  		B. 	0
  		C. 	2
  		D. 	Infinite

anonymous · Answer

http://www.wolframalpha.com/input/?i=+y+%3Darctan3+

anonymous · Answer

what?

anonymous · Answer

arctan is a function, so arctan(3) is a number

anonymous · Answer

right?  like 
$$f(x)=x^2+1$$ is a function which means that 
$$f(3)=3^2+1$$ is a number.  if it was not a single number then 
$$f(x)=x^2+1$$ would not be a function

anonymous · Answer

maybe the confusion could be that there could be more than one number whose tangent is 3. infinitely many in fact.  but arctan(3) is not SOME number whose tangent is 3, it is the number in the interval 
$$[-\frac{\pi}{2},\frac{\pi}{2}]$$ whose tangent is 3