Respuesta :

Answer:

210°

Step-by-step explanation:

Given

sinΘ = - [tex]\frac{1}{2}[/tex]

Note taken the inverse sine of the positive value of the ratio, gives the related acute angle, that is

Θ = [tex]sin^{-1}[/tex]([tex]\frac{1}{2}[/tex] ) = 30° ← related acute angle

Thus the required angle in the third quadrant is

Θ = 180° + 30° = 210°