For what numbers x, 0 ≤ x ≤ 2π, does cos x = -1?
From the given interval, 0 ≤ x ≤ 2π. the value of \(x=\pi\) that gives cos(x)=-1
Given :
\(cos(x)=-1\), interval is 0 ≤ x ≤ 2π
lets check the angle where cos is -1
we know that cos(180) is -1
So we can write \(cos(\pi )=-1\)
Now we write the general solution for cos(x)=-1
\(x=\pi +2\pi n\)
We look at the given interval that is 0 ≤ x ≤ 2π
So, the solution for x is \(\pi\)
Hence , \(x=\pi\) given cos(x)=-1
Learn more : brainly.com/question/5093486