## anonymous 4 years ago arctan(-squareroot 3) is 2pi/3 and 5pi/3 the answer?

1. anonymous

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

2. Directrix

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

3. Directrix

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

4. anonymous

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.