Respuesta :

Answer:

θ = 240

and

cos(θ) = -0.5

Step-by-step explanation:

Theta is in the third quadrant, that meansit goes from 180 to 270 degrees

Then,

cos^2 (θ) =1/4

cos (θ) = ± 1/2

θ = arccos(0.5)

θ = 60

But in the third quadrant

θ = 180 + 60  = 240

θ = 240

and

cos(θ) = -0.5