Respuesta :

leena

Answer:

Step-by-step explanation:

To answer this question, we can begin by creating factors from this equation:

(2cosθ-1)(cosθ-1)= 0.

Now, we just need to set the factors equivalent to 0 and solve:

2cosθ= 1.

cosθ= 1/2

θ= [tex]\frac{\pi }{3}[/tex], [tex]\frac{5\pi }{3}[/tex]

cosθ= 1

θ= 0, 2[tex]\pi[/tex].

Answer: Theta (θ) = 2πn, π/3 + 2πn, 5π/3 + 2πn

Step-by-step explanation:

2cos²(θ) - 3cos(θ) = -1

Let cos(θ) = u

2u² - 3u + 1 = 0

u = 1, u = 1/2

Substitute u with cos(θ) and you have your answer.

I used Symbolab's variable solving calculator for this since I'm lazy :\

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