Respuesta :
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 :\