Question

Please help me with this question helel

Answer 1

`(1)/(2)`

Explanation:

Given

tan x =
`√(3)`, then

x =
`tan^(-1)`(
`√(3)` ) = 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°

=
`(1)/(2)`