Question

principal solution of the equation tanx=2

Answer 1

Please find below the solution to the asked query :

    tan x = −1⇒tan x =− tan(π4)⇒tan x = tan(3π4) and tanx = tan(7π4)⇒x = 3π4   and  x = 7π4    tan x = -1⇒tan x =- tanπ4⇒tan x = tan3π4 and tanx = tan7π4⇒x = 3π4   and  x = 7π4

Hope this would clear your doubt.

Do let us know in case of any further concerns.

Answer 2

It's should be
$\sqrt{sec60 - 1}$
Not sure..