How would you go about proving the following relation about the |sin(x)| value of consecutive numbers?

Question

I've been trying to write a formal proof of the following, but it's been rather annoying. any help is appreciated Prove that for every 3 consecutive numbers n,n+1,n+2. there exists a x = {n,n+1,n+2} number, such that |sin(x)| >= 1/2