jika sin 1/2 x = 2/3 maka tan x adalah..

Jawab :

sin 1/2 x = 2/3
cos 1/2 x = √(1 - sin² x) = 1/3 √5

sin 2(1/2 x) = 2 sin (1/2 x) cos (1/2 x)
sin x = 4/9 √5
cos x = √(1 - sin² x) = 1/9

tan x
= sin x/cos x
= 4√5