Answer :

[tex]\sqrt5[/tex]Answer:

Sin^2 x + Cos^2 x = 1

Sin^2 x = 1 - 4 / 9 = 5 / 9

Sin x = [tex]\sqrt5[/tex]  / 3

Tan x = Sin x / Cos x = ([tex]\sqrt5[/tex]  / 3) /  (2 / 3) =  [tex]\sqrt5[/tex]  / 2

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