How do you simplify $arctan(-sqrt3)$ ?

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Answer 1 · 2015-11-04T04:52:29

Simplify $arctan (-sqrt3)$

Ans: $(2pi)/3$ and (5pi)/3

Table of Special Arcs gives -->
tan x = (-sqrt3) --> arc $x = (2pi)/3$ and arc $x = (2pi)/3 + pi = (5pi)/3$

Answer 2 · 2016-02-28T10:02:40

$arctan(-sqrt3) = -arctan(sqrt3) = -pi/3$

Graph of $y = arctan(x)$
graph{arctan(x) [-10, 10, -5, 5]}

How do you simplify arctan(-sqrt3)arctan(-sqrt3)?