Question

How many solutions does tan^-1 3 have?

Answer 1

one, since \(\tan^{-1}(x)\) is a well defined function

Answer 2

aren't there two quadrants that it could be in?

Answer 3

yes arctan has range of \([-\frac{\pi}{2},\frac{\pi}{2}]\) but there will only be one output for each input

Answer 4

I was referring back to trig problems, where you found the reference angle and then determined the quadrant (+=Q1orQ3,-=Q2,Q4)