How do you calculate $tan^-1(sqrt3)$ ?

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Answer 1 · 2015-04-25T12:18:31

Assuming by $tan^(-1)(sqrt(3))$ you mean $arctan(sqrt(3))$

and not $1/(tan(sqrt(3))$

We are looking for a value $theta$
such that
$tan(theta) = sqrt(3)$
that is
$theta = arctan(tan(theta)) = arctan(sqrt(3))$

$tan(theta) = sqrt(3)$
is the $tan$ of a standard triangle
with $theta = pi/3$

That is $arctan(sqrt(3)) = PI/3$
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How do you calculate tan^-1(sqrt3)tan^-1(sqrt3)?