Question

For what numbers x, 0 ≤ x ≤ 2π, does cos x = -1?

Answer 1

Only For x=pi. Cos(pi)=-1

Answer 2

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

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