Respuesta :

Answer:

x = 2πn - π/3

x = 2πn + π/3

Step-by-step explanation:

Given that a trigonometric equation

cos x = [tex]\frac{-1}{2}[/tex]

We know that,

cos x = -[tex]\frac{-1}{2}[/tex]

Now take the inverse of cos both the side

x = -π/3

We know that, the cycle of cos is 2π

So, we add 2πn where n is any integer.

x = 2πn - π/3

x = 2πn + π/3


That's the final answer,

I hope it will help you.

2 pi /3 + 2npi and 4pi/3 +2npi

Step-by-step explanation:

2 pi /3 + 2npi and 4pi/3 +2npi