Question

arctan(sqrt(-3)) versus Arctan(sqrt(-3))

Notice the uppercase letter difference. I know the one with the uppercase letter a function and the lowercase one is a relation, but I'm confused on how to solve for each because there's different answers. Can anyone help me find the difference between the two?

Answer 1

they're the same

Answer 2

As far as I'm concerned, ones' a relation and one's a function

Answer 3

No, they're the same.

Answer 4

Can you help me solve for it then? I've been contemplating this question for a while

Answer 5

So I take the inverse which is -60 degrees it's equivalent to -pi/3. Should there be more answers to the question?

Answer 6

-pi/3 is the only one.

Unless you're trying to solve something like
tan(x) = -sqrt(3), then there are multiple solutions because tan(x) is periodic.

Even when you take tangent verse for both sides, arctan(-sqrt(3)) is still just -pi/3.

Answer 7

Thanks!