Answer:
[tex]\frac{1}{2}[/tex]
Step-by-step explanation:
Given
tan x = [tex]\sqrt{3}[/tex], then
x = [tex]tan^{-1}[/tex]([tex]\sqrt{3}[/tex] ) = 60° ← related acute angle
Since 180° < x < 270° and tan x > 0 then x is in third quadrant
x = 180° + 60° = 240°
and
sin(x - 210)°
= sin(240 - 210)°
= sin30°
= [tex]\frac{1}{2}[/tex]
