How do you evaluate $arctan(sqrt3)$ without a calculator?

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Answer 1 · 2017-05-26T04:16:54

arc $x = pi/3$ and arc $x = (4pi)/3$

Use trig table of special arcs and unit circle -->
$tan x = sqrt3$ --> 2 solutions -->
arc $x = pi/3$ and arc $x = pi/3 + pi = (4pi)/3$

How do you evaluate arctan(sqrt3)arctan(sqrt3) without a calculator?