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°