Question

Find all solutions to the equation. cos x = -one divided by two

Answer 1

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

Explanation:

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

Answer 2

x = 2πn - π/3

x = 2πn + π/3

Explanation:

Given that a trigonometric equation

cos x =
`(-1)/(2)`

We know that,

cos x = -
`(-1)/(2)`

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.