Question
Solve for $x : \tan^2 (x - 5^\circ) = 3$

Answer

$\tan^2 (x – 5^\circ) = 3$
$\tan (x – 5^\circ) =\sqrt{3}$
$\tan (x – 5^\circ) = \tan 60^\circ$
$x – 5^\circ = 60^\circ$
$x = 65^\circ$

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