Question

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

Answer 1

Simplify `arctan (-sqrt3)`

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

Explanation:

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

Answer 2

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

Explanation:

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