How do you evaluate $arctan - \sqrt{3}$ $Arctan -sqrt3$ ?

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How do you evaluate $arctan - \sqrt{3}$ $Arctan -sqrt3$ ?

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Answer 1 · 2016-07-27T04:29:47

$\frac{2 π}{3} and \frac{5 π}{3}$ $(2pi)/3 and (5pi)/3$

Explanation:

$tan x = - \sqrt{3}$ $tan x = - sqrt3$
Trig table of special arcs gives:
arc $x = \frac{2 π}{3}$ $x = (2pi)/3$
Trig unit circle gives another arc $x = \frac{2 π}{3} + π = \frac{5 π}{3}$ $x = (2pi)/3 + pi = (5pi)/3$ that has the same tan value.

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How do you evaluate $arctan - \sqrt{3}$ $Arctan -sqrt3$ ?

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How do you evaluate $arctan - \sqrt{3}$ $Arctan -sqrt3$ ?