Question

arctan(-squareroot 3)

is 2pi/3 and 5pi/3 the answer?

Answer 1

the question was
Find the exact values of the following expressions, it they are defined.
\[\tan^{-1} (-\sqrt{3})\]
i dont know how many answers i am supposed to have

Answer 2

The range of arctan(x) is given by the interval (-pi/2 , pi/2).
The single answer is ( - pi / 3) .

Answer 3

5pi/3 is not in the range of the arctan.

Answer 4

thank you! but sorry I have to ask how did you know the range? I thought the answer could be determined in all 4 quadrants.