arctan(-squareroot 3) is 2pi/3 and 5pi/3 the answer?

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arctan(-squareroot 3) is 2pi/3 and 5pi/3 the answer?

Mathematics
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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
The range of arctan(x) is given by the interval (-pi/2 , pi/2). The single answer is ( - pi / 3) .
5pi/3 is not in the range of the arctan.

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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.

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