tan X = 2/3

Basic tips:

(sin x)^2 + (cos x)^2=1


sin x /cos x= tan x and cos x/sin x=1/tan x

Tan x = 2/3

cot x = 3/2

from enunciation, the value of  tan x = 2/3.


1 + (cotx)^2 = 1/(sin x)^2
sin x = 1/sqrt[1+(cot x)^2]
sin x = 1/sqrt[1+(3/2)^2]
sin x= 1/sqrt(1+9/4)
sin x = 2/sqrt13 => sin x = 2sqrt13/13


sin x = 2sqrt13/13




[Source 1]

 [Source 2]