Cos2x Verify that the function satisfies the three hypotheses of Rolle's Theorem on the given interval. Then find all numbers c that satisfy the conclusion of Rolle's Theorem. (Enter your answers as a comma-separated list.)

Answer with Step-by-step explanation:

We are given that

[]

1.Cos2x is continuous on given interval []

2.Cos 2x is differentiable in ()

3.

Using the formula

Therefore, f(a)=f(b)

Hence,Cos 2x satisfies the three hypothesis of Roll's theorem on the given interval.

Substitute x=c

Where

Substitute n=1

lies in the given interval.

Hence, the value of c=

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